138968902656 has 264 divisors, whose sum is σ = 415489251840. Its totient is φ = 44702171136.

The previous prime is 138968902621. The next prime is 138968902679. The reversal of 138968902656 is 656209869831.

138968902656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138968902593 and 138968902602.

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, 43304380 + ... + 43307588.

Almost surely, 2^138968902656 is an apocalyptic number.

138968902656 is a gapful number since it is divisible by the number (16) 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 138968902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207744625920).

138968902656 is an abundant number, since it is smaller than the sum of its proper divisors (276520349184).

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

138968902656 is a wasteful number, since it uses less digits than its factorization.

138968902656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 138968902656 in words is "one hundred thirty-eight billion, nine hundred sixty-eight million, nine hundred two thousand, six hundred fifty-six".