138828866177664 has 256 divisors, whose sum is σ = 445805326512000. Its totient is φ = 42276195827712.

The previous prime is 138828866177641. The next prime is 138828866177737. The reversal of 138828866177664 is 466771668828831.

138828866177664 is a `hidden beast` number, since 1 + 388 + 2 + 8 + 8 + 6 + 6 + 177 + 6 + 64 = 666.

It is a super-3 number, since 3×138828866177664³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11569974 + ... + 20286005.

Almost surely, 2^{138828866177664} is an apocalyptic number.

It is an amenable number.

138828866177664 is an abundant number, since it is smaller than the sum of its proper divisors (306976460334336).

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

138828866177664 is a wasteful number, since it uses less digits than its factorization.

138828866177664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31856112 (or 31856094 counting only the distinct ones).

The product of its digits is 6242697216, while the sum is 81.

The spelling of 138828866177664 in words is "one hundred thirty-eight trillion, eight hundred twenty-eight billion, eight hundred sixty-six million, one hundred seventy-seven thousand, six hundred sixty-four".