350368768512 has 960 divisors, whose sum is σ = 1255173663744. Its totient is φ = 95491768320.

The previous prime is 350368768507. The next prime is 350368768567. The reversal of 350368768512 is 215867863053.

350368768512 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 68 + 7 + 68 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2674570687 + ... + 2674570817.

Almost surely, 2^350368768512 is an apocalyptic number.

350368768512 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 350368768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627586831872).

350368768512 is an abundant number, since it is smaller than the sum of its proper divisors (904804895232).

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

350368768512 is an equidigital number, since it uses as much as digits as its factorization.

350368768512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 350368768512 in words is "three hundred fifty billion, three hundred sixty-eight million, seven hundred sixty-eight thousand, five hundred twelve".