13953208032 has 36 divisors (see below), whose sum is σ = 39679436160. Its totient is φ = 4651069248.

The previous prime is 13953208013. The next prime is 13953208039. The reversal of 13953208032 is 23080235931.

13953208032 is a `hidden beast` number, since 13 + 9 + 532 + 0 + 80 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13953208039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24224032 + ... + 24224607.

It is an arithmetic number, because the mean of its divisors is an integer number (1102206560).

Almost surely, 2^13953208032 is an apocalyptic number.

13953208032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13953208032 is an abundant number, since it is smaller than the sum of its proper divisors (25726228128).

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

13953208032 is a wasteful number, since it uses less digits than its factorization.

13953208032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48448655 (or 48448644 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13953208032 in words is "thirteen billion, nine hundred fifty-three million, two hundred eight thousand, thirty-two".