104744739456000 has 3168 divisors, whose sum is σ = 466435223654400. Its totient is φ = 22473709977600.

The previous prime is 104744739455987. The next prime is 104744739456037. The reversal of 104744739456000 is 654937447401.

104744739456000 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 4 + 4 + 73 + 9 + 4 + 560 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136209023616 + ... + 136209024384.

It is an arithmetic number, because the mean of its divisors is an integer number (147233340800).

Almost surely, 2^{104744739456000} is an apocalyptic number.

104744739456000 is a gapful number since it is divisible by the number (10) 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 104744739456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233217611827200).

104744739456000 is an abundant number, since it is smaller than the sum of its proper divisors (361690484198400).

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

104744739456000 is a wasteful number, since it uses less digits than its factorization.

104744739456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 104744739456000 in words is "one hundred four trillion, seven hundred forty-four billion, seven hundred thirty-nine million, four hundred fifty-six thousand".