138890946714624 has 264 divisors, whose sum is σ = 432415470046560. Its totient is φ = 42684094513152.

The previous prime is 138890946714607. The next prime is 138890946714631. The reversal of 138890946714624 is 426417649098831.

138890946714624 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 9 + 0 + 94 + 6 + 71 + 462 + 4 = 666.

It is a super-2 number, since 2×138890946714624² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98621629 + ... + 100020035.

It is an arithmetic number, because the mean of its divisors is an integer number (1637937386540).

Almost surely, 2^{138890946714624} 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 138890946714624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216207735023280).

138890946714624 is an abundant number, since it is smaller than the sum of its proper divisors (293524523331936).

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

138890946714624 is a wasteful number, since it uses less digits than its factorization.

138890946714624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399275 (or 1399254 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 138890946714624 in words is "one hundred thirty-eight trillion, eight hundred ninety billion, nine hundred forty-six million, seven hundred fourteen thousand, six hundred twenty-four".