345053931264 has 288 divisors, whose sum is σ = 1185281914880. Its totient is φ = 96969830400.

The previous prime is 345053931259. The next prime is 345053931283. The reversal of 345053931264 is 462139350543.

345053931264 is a `hidden beast` number, since 3 + 4 + 50 + 539 + 3 + 1 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2892969 + ... + 3009879.

Almost surely, 2^345053931264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345053931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592640957440).

345053931264 is an abundant number, since it is smaller than the sum of its proper divisors (840227983616).

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

345053931264 is a wasteful number, since it uses less digits than its factorization.

345053931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117004 (or 116984 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 345053931264 in words is "three hundred forty-five billion, fifty-three million, nine hundred thirty-one thousand, two hundred sixty-four".