138618608688 has 200 divisors, whose sum is σ = 466035643040. Its totient is φ = 38955893760.

The previous prime is 138618608659. The next prime is 138618608699. The reversal of 138618608688 is 886806816831.

138618608688 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 18 + 608 + 6 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 428148 + ... + 678636.

Almost surely, 2^138618608688 is an apocalyptic number.

138618608688 is a gapful number since it is divisible by the number (18) 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 138618608688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233017821520).

138618608688 is an abundant number, since it is smaller than the sum of its proper divisors (327417034352).

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

138618608688 is a wasteful number, since it uses less digits than its factorization.

138618608688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250577 (or 250562 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 138618608688 in words is "one hundred thirty-eight billion, six hundred eighteen million, six hundred eight thousand, six hundred eighty-eight".