13975072642 has 32 divisors (see below), whose sum is σ = 22846147200. Its totient is φ = 6392821248.

The previous prime is 13975072633. The next prime is 13975072697. The reversal of 13975072642 is 24627057931.

13975072642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 13975072592 and 13975072601.

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 15 ways as a sum of consecutive naturals, for example, 30834 + ... + 170002.

It is an arithmetic number, because the mean of its divisors is an integer number (713942100).

Almost surely, 2^13975072642 is an apocalyptic number.

13975072642 is a deficient number, since it is larger than the sum of its proper divisors (8871074558).

13975072642 is a wasteful number, since it uses less digits than its factorization.

13975072642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139290.

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 13975072642 in words is "thirteen billion, nine hundred seventy-five million, seventy-two thousand, six hundred forty-two".