138318885080064 has 616 divisors, whose sum is σ = 447150121285392. Its totient is φ = 42493299425280.

The previous prime is 138318885080039. The next prime is 138318885080113. The reversal of 138318885080064 is 460080588813831.

138318885080064 is a `hidden beast` number, since 1 + 38 + 3 + 18 + 88 + 508 + 0 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×138318885080064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138318885079983 and 138318885080010.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6414629347 + ... + 6414650909.

Almost surely, 2^{138318885080064} 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 138318885080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223575060642696).

138318885080064 is an abundant number, since it is smaller than the sum of its proper divisors (308831236205328).

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

138318885080064 is an equidigital number, since it uses as much as digits as its factorization.

138318885080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22275 (or 22242 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 138318885080064 in words is "one hundred thirty-eight trillion, three hundred eighteen billion, eight hundred eighty-five million, eighty thousand, sixty-four".