356097417082264 has 384 divisors, whose sum is σ = 841250632057920. Its totient is φ = 139883908792320.

The previous prime is 356097417082157. The next prime is 356097417082321. The reversal of 356097417082264 is 462280714790653.

It is a junction number, because it is equal to n+sod(n) for n = 356097417082196 and 356097417082205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37354177242 + ... + 37354186774.

It is a 1-persistent number, because it is pandigital, but 2⋅356097417082264 = 712194834164528 is not.

Almost surely, 2^{356097417082264} is an apocalyptic number.

356097417082264 is a gapful number since it is divisible by the number (34) 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 356097417082264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420625316028960).

356097417082264 is an abundant number, since it is smaller than the sum of its proper divisors (485153214975656).

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

356097417082264 is a wasteful number, since it uses less digits than its factorization.

356097417082264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10491 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 64.

The spelling of 356097417082264 in words is "three hundred fifty-six trillion, ninety-seven billion, four hundred seventeen million, eighty-two thousand, two hundred sixty-four".