104713247439360 has 5120 divisors, whose sum is σ = 483994165248000. Its totient is φ = 20921953812480.

The previous prime is 104713247439343. The next prime is 104713247439473. The reversal of 104713247439360 is 63934742317401.

104713247439360 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 1 + 3 + 247 + 4 + 39 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104713247439297 and 104713247439306.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 764330273212 + ... + 764330273348.

It is an arithmetic number, because the mean of its divisors is an integer number (94530110400).

Almost surely, 2^{104713247439360} is an apocalyptic number.

104713247439360 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 104713247439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241997082624000).

104713247439360 is an abundant number, since it is smaller than the sum of its proper divisors (379280917808640).

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

104713247439360 is a wasteful number, since it uses less digits than its factorization.

104713247439360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 104713247439360 in words is "one hundred four trillion, seven hundred thirteen billion, two hundred forty-seven million, four hundred thirty-nine thousand, three hundred sixty".