345506918364 has 48 divisors (see below), whose sum is σ = 895791351840. Its totient is φ = 115164771840.

The previous prime is 345506918357. The next prime is 345506918371. The reversal of 345506918364 is 463819605543.

345506918364 is a `hidden beast` number, since 3 + 4 + 550 + 6 + 9 + 1 + 83 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (345506918357) and next prime (345506918371).

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

It is a self number, because there is not a number n which added to its sum of digits gives 345506918364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4717932 + ... + 4790604.

It is an arithmetic number, because the mean of its divisors is an integer number (18662319830).

Almost surely, 2^345506918364 is an apocalyptic number.

It is an amenable number.

345506918364 is an abundant number, since it is smaller than the sum of its proper divisors (550284433476).

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

345506918364 is a wasteful number, since it uses less digits than its factorization.

345506918364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116707 (or 116699 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 345506918364 in words is "three hundred forty-five billion, five hundred six million, nine hundred eighteen thousand, three hundred sixty-four".