139901449064832 has 1152 divisors, whose sum is σ = 517408341559200. Its totient is φ = 35951804743680.

The previous prime is 139901449064789. The next prime is 139901449064837. The reversal of 139901449064832 is 238460944109931.

139901449064832 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 0 + 1 + 4 + 490 + 64 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 139901449064832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139901449064837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4789654644 + ... + 4789683852.

Almost surely, 2^{139901449064832} is an apocalyptic number.

139901449064832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139901449064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258704170779600).

139901449064832 is an abundant number, since it is smaller than the sum of its proper divisors (377506892494368).

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

139901449064832 is a wasteful number, since it uses less digits than its factorization.

139901449064832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29424 (or 29402 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 139901449064832 in words is "one hundred thirty-nine trillion, nine hundred one billion, four hundred forty-nine million, sixty-four thousand, eight hundred thirty-two".