138868801311744 has 264 divisors, whose sum is σ = 475236332054848. Its totient is φ = 39676799877120.

The previous prime is 138868801311727. The next prime is 138868801311769. The reversal of 138868801311744 is 447113108868831.

138868801311744 is a `hidden beast` number, since 1 + 388 + 6 + 8 + 80 + 1 + 3 + 1 + 174 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38121217 + ... + 41604864.

Almost surely, 2^{138868801311744} is an apocalyptic number.

138868801311744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138868801311744 is an abundant number, since it is smaller than the sum of its proper divisors (336367530743104).

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

138868801311744 is an frugal number, since it uses more digits than its factorization.

138868801311744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79726123 (or 79726093 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 138868801311744 in words is "one hundred thirty-eight trillion, eight hundred sixty-eight billion, eight hundred one million, three hundred eleven thousand, seven hundred forty-four".