104719014972352 has 448 divisors, whose sum is σ = 248119704115200. Its totient is φ = 43316515307520.

The previous prime is 104719014972347. The next prime is 104719014972419. The reversal of 104719014972352 is 253279410917401.

It is a junction number, because it is equal to n+sod(n) for n = 104719014972293 and 104719014972302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95808796318 + ... + 95808797410.

Almost surely, 2^{104719014972352} 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 104719014972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124059852057600).

104719014972352 is an abundant number, since it is smaller than the sum of its proper divisors (143400689142848).

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

104719014972352 is a wasteful number, since it uses less digits than its factorization.

104719014972352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 104719014972352 in words is "one hundred four trillion, seven hundred nineteen billion, fourteen million, nine hundred seventy-two thousand, three hundred fifty-two".