12645656100 has 432 divisors, whose sum is σ = 49682820096. Its totient is φ = 2613600000.

The previous prime is 12645656087. The next prime is 12645656119. The reversal of 12645656100 is 165654621.

12645656100 is a `hidden beast` number, since 1 + 2 + 645 + 6 + 5 + 6 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17393937 + ... + 17394663.

It is an arithmetic number, because the mean of its divisors is an integer number (115006528).

Almost surely, 2^12645656100 is an apocalyptic number.

12645656100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12645656100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24841410048).

12645656100 is an abundant number, since it is smaller than the sum of its proper divisors (37037163996).

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

12645656100 is a wasteful number, since it uses less digits than its factorization.

12645656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12645656100 in words is "twelve billion, six hundred forty-five million, six hundred fifty-six thousand, one hundred".