10624642138242 has 48 divisors (see below), whose sum is σ = 25125918843168. Its totient is φ = 3217905407040.

The previous prime is 10624642138211. The next prime is 10624642138261. The reversal of 10624642138242 is 24283124642601.

10624642138242 is a `hidden beast` number, since 1 + 0 + 6 + 246 + 4 + 21 + 382 + 4 + 2 = 666.

It is a super-2 number, since 2×10624642138242² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13646268 + ... + 14403815.

It is an arithmetic number, because the mean of its divisors is an integer number (523456642566).

Almost surely, 2^{10624642138242} is an apocalyptic number.

10624642138242 is an abundant number, since it is smaller than the sum of its proper divisors (14501276704926).

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

10624642138242 is a wasteful number, since it uses less digits than its factorization.

10624642138242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28052015 (or 28052012 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 10624642138242 in words is "ten trillion, six hundred twenty-four billion, six hundred forty-two million, one hundred thirty-eight thousand, two hundred forty-two".