12645031905 has 320 divisors, whose sum is σ = 27655372800. Its totient is φ = 5458752000.

The previous prime is 12645031901. The next prime is 12645031913. The reversal of 12645031905 is 50913054621.

12645031905 is a `hidden beast` number, since 1 + 2 + 64 + 503 + 1 + 90 + 5 = 666.

It is not a de Polignac number, because 12645031905 - 2² = 12645031901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12645031905.

It is not an unprimeable number, because it can be changed into a prime (12645031901) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 160063656 + ... + 160063734.

It is an arithmetic number, because the mean of its divisors is an integer number (86423040).

Almost surely, 2^12645031905 is an apocalyptic number.

12645031905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12645031905 is an abundant number, since it is smaller than the sum of its proper divisors (15010340895).

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

12645031905 is a wasteful number, since it uses less digits than its factorization.

12645031905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12645031905 in words is "twelve billion, six hundred forty-five million, thirty-one thousand, nine hundred five".