345642503605200 has 120 divisors (see below), whose sum is σ = 1230231281388800. Its totient is φ = 92171334291840.

The previous prime is 345642503605187. The next prime is 345642503605219. The reversal of 345642503605200 is 2506305246543.

345642503605200 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 42 + 50 + 36 + 0 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16001956960 + ... + 16001978559.

Almost surely, 2^{345642503605200} is an apocalyptic number.

345642503605200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345642503605200 is an abundant number, since it is smaller than the sum of its proper divisors (884588777783600).

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

345642503605200 is a wasteful number, since it uses less digits than its factorization.

345642503605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32003935546 (or 32003935529 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 345642503605200 in words is "three hundred forty-five trillion, six hundred forty-two billion, five hundred three million, six hundred five thousand, two hundred".