138618460850688 has 1600 divisors, whose sum is σ = 556572605073408. Its totient is φ = 33297782538240.

The previous prime is 138618460850687. The next prime is 138618460850693. The reversal of 138618460850688 is 886058064816831.

138618460850688 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 1 + 8 + 4 + 608 + 5 + 0 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×138618460850688² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (138618460850687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1988837856 + ... + 1988907552.

Almost surely, 2^{138618460850688} is an apocalyptic number.

138618460850688 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 138618460850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278286302536704).

138618460850688 is an abundant number, since it is smaller than the sum of its proper divisors (417954144222720).

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

138618460850688 is a wasteful number, since it uses less digits than its factorization.

138618460850688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69795 (or 69770 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 138618460850688 in words is "one hundred thirty-eight trillion, six hundred eighteen billion, four hundred sixty million, eight hundred fifty thousand, six hundred eighty-eight".