13975505973 has 48 divisors (see below), whose sum is σ = 23982678720. Its totient is φ = 7730553600.

The previous prime is 13975505933. The next prime is 13975505987. The reversal of 13975505973 is 37950557931.

13975505973 is a `hidden beast` number, since 1 + 39 + 7 + 550 + 59 + 7 + 3 = 666.

It is not a de Polignac number, because 13975505973 - 2¹⁸ = 13975243829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13975505933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53538 + ... + 175548.

It is an arithmetic number, because the mean of its divisors is an integer number (499639140).

Almost surely, 2^13975505973 is an apocalyptic number.

13975505973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13975505973 is a deficient number, since it is larger than the sum of its proper divisors (10007172747).

13975505973 is a wasteful number, since it uses less digits than its factorization.

13975505973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122130 (or 122127 counting only the distinct ones).

The product of its (nonzero) digits is 4465125, while the sum is 54.

The spelling of 13975505973 in words is "thirteen billion, nine hundred seventy-five million, five hundred five thousand, nine hundred seventy-three".