138260018059968 has 336 divisors, whose sum is σ = 443561582572800. Its totient is φ = 37861551028224.

The previous prime is 138260018059967. The next prime is 138260018060009. The reversal of 138260018059968 is 869950810062831.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×138260018059968² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138260018059899 and 138260018059908.

It is not an unprimeable number, because it can be changed into a prime (138260018059963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20358333 + ... + 26286531.

Almost surely, 2^{138260018059968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138260018059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221780791286400).

138260018059968 is an abundant number, since it is smaller than the sum of its proper divisors (305301564512832).

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

138260018059968 is a wasteful number, since it uses less digits than its factorization.

138260018059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928332 (or 5928315 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 66.

The spelling of 138260018059968 in words is "one hundred thirty-eight trillion, two hundred sixty billion, eighteen million, fifty-nine thousand, nine hundred sixty-eight".