138357548679168 has 3840 divisors, whose sum is σ = 561920053464000. Its totient is φ = 33517933166592.

The previous prime is 138357548679131. The next prime is 138357548679169. The reversal of 138357548679168 is 861976845753831.

138357548679168 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 5 + 7 + 5 + 486 + 79 + 1 + 68 = 666.

It is a super-2 number, since 2×138357548679168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (138357548679169) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1895308885980 + ... + 1895308886052.

Almost surely, 2^{138357548679168} is an apocalyptic number.

138357548679168 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 138357548679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280960026732000).

138357548679168 is an abundant number, since it is smaller than the sum of its proper divisors (423562504784832).

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

138357548679168 is an equidigital number, since it uses as much as digits as its factorization.

138357548679168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 176 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 81.

The spelling of 138357548679168 in words is "one hundred thirty-eight trillion, three hundred fifty-seven billion, five hundred forty-eight million, six hundred seventy-nine thousand, one hundred sixty-eight".