104939149722624 has 528 divisors, whose sum is σ = 378023688806400. Its totient is φ = 28404572921856.

The previous prime is 104939149722623. The next prime is 104939149722647. The reversal of 104939149722624 is 426227941939401.

104939149722624 is a `hidden beast` number, since 1 + 0 + 493 + 9 + 14 + 9 + 72 + 2 + 62 + 4 = 666.

It is a super-2 number, since 2×104939149722624² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (104939149722623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31509217 + ... + 34680095.

Almost surely, 2^{104939149722624} is an apocalyptic number.

104939149722624 is a gapful number since it is divisible by the number (14) 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 104939149722624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189011844403200).

104939149722624 is an abundant number, since it is smaller than the sum of its proper divisors (273084539083776).

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

104939149722624 is an equidigital number, since it uses as much as digits as its factorization.

104939149722624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170940 (or 3170910 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 104939149722624 in words is "one hundred four trillion, nine hundred thirty-nine billion, one hundred forty-nine million, seven hundred twenty-two thousand, six hundred twenty-four".