431668815113100 has 144 divisors (see below), whose sum is σ = 1249478359516800. Its totient is φ = 115064080051200.

The previous prime is 431668815113069. The next prime is 431668815113111. The reversal of 431668815113100 is 1311518866134.

It is a super-2 number, since 2×431668815113100² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431668815113100.

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 47 ways as a sum of consecutive naturals, for example, 13884028555 + ... + 13884059645.

It is an arithmetic number, because the mean of its divisors is an integer number (8676933052200).

Almost surely, 2^{431668815113100} is an apocalyptic number.

It is an amenable number.

431668815113100 is an abundant number, since it is smaller than the sum of its proper divisors (817809544403700).

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

431668815113100 is a wasteful number, since it uses less digits than its factorization.

431668815113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48760 (or 48753 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 431668815113100 in words is "four hundred thirty-one trillion, six hundred sixty-eight billion, eight hundred fifteen million, one hundred thirteen thousand, one hundred".