10108646132544 has 336 divisors, whose sum is σ = 30743376664000. Its totient is φ = 3166725611520.

The previous prime is 10108646132477. The next prime is 10108646132567. The reversal of 10108646132544 is 44523164680101.

10108646132544 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 8 + 6 + 4 + 613 + 25 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10108646132544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3177818634 + ... + 3177821814.

Almost surely, 2^{10108646132544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10108646132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371688332000).

10108646132544 is an abundant number, since it is smaller than the sum of its proper divisors (20634730531456).

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

10108646132544 is a wasteful number, since it uses less digits than its factorization.

10108646132544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10108646132544 in words is "ten trillion, one hundred eight billion, six hundred forty-six million, one hundred thirty-two thousand, five hundred forty-four".