341481284496 has 405 divisors, whose sum is σ = 1113426123537. Its totient is φ = 97612162560.

The previous prime is 341481284437. The next prime is 341481284513. The reversal of 341481284496 is 694482184143.

The square root of 341481284496 is 584364.

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

341481284496 is a `hidden beast` number, since 3 + 4 + 148 + 1 + 2 + 8 + 4 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69347955600 + 272133328896 = 263340^2 + 521664^2 .

It is a super-2 number, since 2×341481284496² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1465584796 + ... + 1465585028.

Almost surely, 2^341481284496 is an apocalyptic number.

341481284496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

341481284496 is the 584364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341481284496

341481284496 is an abundant number, since it is smaller than the sum of its proper divisors (771944839041).

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

341481284496 is a wasteful number, since it uses less digits than its factorization.

341481284496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 268 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 341481284496 in words is "three hundred forty-one billion, four hundred eighty-one million, two hundred eighty-four thousand, four hundred ninety-six".