104646777016320 has 2080 divisors, whose sum is σ = 477675794128896. Its totient is φ = 21280908902400.

The previous prime is 104646777016319. The next prime is 104646777016403. The reversal of 104646777016320 is 23610777646401.

It is a happy number.

104646777016320 is a `hidden beast` number, since 1 + 0 + 464 + 6 + 77 + 70 + 16 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6003478005 + ... + 6003495435.

Almost surely, 2^{104646777016320} is an apocalyptic number.

104646777016320 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 104646777016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238837897064448).

104646777016320 is an abundant number, since it is smaller than the sum of its proper divisors (373029017112576).

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

104646777016320 is a wasteful number, since it uses less digits than its factorization.

104646777016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17537 (or 17506 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 104646777016320 in words is "one hundred four trillion, six hundred forty-six billion, seven hundred seventy-seven million, sixteen thousand, three hundred twenty".