341411164416 has 729 divisors, whose sum is σ = 1202443736949. Its totient is φ = 92890312704.

The previous prime is 341411164351. The next prime is 341411164429. The reversal of 341411164416 is 614461114143.

The square root of 341411164416 is 584304.

It is a perfect power (a square), and thus also a powerful number.

341411164416 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 1 + 1 + 1 + 644 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 305499398400 + 35911766016 = 552720^2 + 189504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7264067305 + ... + 7264067351.

Almost surely, 2^341411164416 is an apocalyptic number.

341411164416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

341411164416 is the 584304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341411164416

341411164416 is an abundant number, since it is smaller than the sum of its proper divisors (861032572533).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

341411164416 is an equidigital number, since it uses as much as digits as its factorization.

341411164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 96 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Multiplying 341411164416 by its sum of digits (36), we get a square (12290801918976 = 3505824²).

341411164416 divided by its sum of digits (36) gives a square (9483643456 = 97384²).

Adding to 341411164416 its reverse (614461114143), we get a palindrome (955872278559).

The spelling of 341411164416 in words is "three hundred forty-one billion, four hundred eleven million, one hundred sixty-four thousand, four hundred sixteen".