138563553408 has 64 divisors (see below), whose sum is σ = 420639366720. Its totient is φ = 39589585920.

The previous prime is 138563553407. The next prime is 138563553433. The reversal of 138563553408 is 804355365831.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (138563553407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25771783 + ... + 25777158.

It is an arithmetic number, because the mean of its divisors is an integer number (6572490105).

Almost surely, 2^138563553408 is an apocalyptic number.

It is an amenable number.

138563553408 is an abundant number, since it is smaller than the sum of its proper divisors (282075813312).

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

138563553408 is an equidigital number, since it uses as much as digits as its factorization.

138563553408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51548965 (or 51548953 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 138563553408 in words is "one hundred thirty-eight billion, five hundred sixty-three million, five hundred fifty-three thousand, four hundred eight".