341185886953632 has 5760 divisors, whose sum is σ = 1446558726412800. Its totient is φ = 77871405072384.

The previous prime is 341185886953631. The next prime is 341185886953673. The reversal of 341185886953632 is 236359688581143.

341185886953632 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 8 + 5 + 8 + 86 + 9 + 536 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (341185886953631) by changing a digit.

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 959 ways as a sum of consecutive naturals, for example, 1012421029368 + ... + 1012421029704.

It is an arithmetic number, because the mean of its divisors is an integer number (251138667780).

Almost surely, 2^{341185886953632} is an apocalyptic number.

341185886953632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341185886953632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723279363206400).

341185886953632 is an abundant number, since it is smaller than the sum of its proper divisors (1105372839459168).

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

341185886953632 is a wasteful number, since it uses less digits than its factorization.

341185886953632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 341185886953632 in words is "three hundred forty-one trillion, one hundred eighty-five billion, eight hundred eighty-six million, nine hundred fifty-three thousand, six hundred thirty-two".