138683570522112 has 2304 divisors, whose sum is σ = 550792443801600. Its totient is φ = 33751333601280.

The previous prime is 138683570521967. The next prime is 138683570522153. The reversal of 138683570522112 is 211225075386831.

138683570522112 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 8 + 3 + 570 + 52 + 2 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×138683570522112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 233867740888 + ... + 233867741480.

It is an arithmetic number, because the mean of its divisors is an integer number (239059220400).

Almost surely, 2^{138683570522112} is an apocalyptic number.

138683570522112 is a gapful number since it is divisible by the number (12) 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 138683570522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275396221900800).

138683570522112 is an abundant number, since it is smaller than the sum of its proper divisors (412108873279488).

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

138683570522112 is a wasteful number, since it uses less digits than its factorization.

138683570522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 138683570522112 in words is "one hundred thirty-eight trillion, six hundred eighty-three billion, five hundred seventy million, five hundred twenty-two thousand, one hundred twelve".