138246632064 has 80 divisors (see below), whose sum is σ = 411419767770. Its totient is φ = 46082207232.

The previous prime is 138246632039. The next prime is 138246632081. The reversal of 138246632064 is 460236642831.

138246632064 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 4 + 6 + 632 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116226446400 + 22020185664 = 340920^2 + 148392^2 .

It is a super-2 number, since 2×138246632064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6656619 + ... + 6677354.

Almost surely, 2^138246632064 is an apocalyptic number.

It is an amenable number.

138246632064 is an abundant number, since it is smaller than the sum of its proper divisors (273173135706).

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

138246632064 is an equidigital number, since it uses as much as digits as its factorization.

138246632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333999 (or 13333978 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 138246632064 in words is "one hundred thirty-eight billion, two hundred forty-six million, six hundred thirty-two thousand, sixty-four".