13939649089632 has 96 divisors (see below), whose sum is σ = 46465496985600. Its totient is φ = 3982756881024.

The previous prime is 13939649089631. The next prime is 13939649089637. The reversal of 13939649089632 is 23698094693931.

13939649089632 is a `hidden beast` number, since 1 + 39 + 396 + 4 + 90 + 8 + 96 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13939649089631) 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 15 ways as a sum of consecutive naturals, for example, 1152412032 + ... + 1152424127.

It is an arithmetic number, because the mean of its divisors is an integer number (484015593600).

Almost surely, 2^{13939649089632} is an apocalyptic number.

13939649089632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13939649089632 is an abundant number, since it is smaller than the sum of its proper divisors (32525847895968).

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

13939649089632 is a wasteful number, since it uses less digits than its factorization.

13939649089632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304836185 (or 2304836171 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 72.

The spelling of 13939649089632 in words is "thirteen trillion, nine hundred thirty-nine billion, six hundred forty-nine million, eighty-nine thousand, six hundred thirty-two".