13955639904 has 72 divisors (see below), whose sum is σ = 40714080120. Its totient is φ = 4650722496.

The previous prime is 13955639899. The next prime is 13955639941. The reversal of 13955639904 is 40993655931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13955639904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3470407 + ... + 3474425.

It is an arithmetic number, because the mean of its divisors is an integer number (565473335).

Almost surely, 2^13955639904 is an apocalyptic number.

It is an amenable number.

13955639904 is an abundant number, since it is smaller than the sum of its proper divisors (26758440216).

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

13955639904 is an frugal number, since it uses more digits than its factorization.

13955639904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

Multiplying 13955639904 by its sum of digits (54), we get a square (753604554816 = 868104²).

13955639904 divided by its sum of digits (54) gives a square (258437776 = 16076²).

The spelling of 13955639904 in words is "thirteen billion, nine hundred fifty-five million, six hundred thirty-nine thousand, nine hundred four".