355115114496 has 672 divisors, whose sum is σ = 1152131198400. Its totient is φ = 108928696320.

The previous prime is 355115114483. The next prime is 355115114617. The reversal of 355115114496 is 694411511553.

355115114496 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 1 + 511 + 44 + 96 = 666.

It is a super-2 number, since 2×355115114496² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550720910 + ... + 1550721138.

It is an arithmetic number, because the mean of its divisors is an integer number (1714480950).

Almost surely, 2^355115114496 is an apocalyptic number.

355115114496 is a gapful number since it is divisible by the number (36) 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 355115114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576065599200).

355115114496 is an abundant number, since it is smaller than the sum of its proper divisors (797016083904).

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

355115114496 is an equidigital number, since it uses as much as digits as its factorization.

355115114496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 294 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The spelling of 355115114496 in words is "three hundred fifty-five billion, one hundred fifteen million, one hundred fourteen thousand, four hundred ninety-six".