104796718488000 has 3584 divisors, whose sum is σ = 490488162877440. Its totient is φ = 21542754816000.

The previous prime is 104796718487947. The next prime is 104796718488019. The reversal of 104796718488000 is 884817697401.

104796718488000 is a `hidden beast` number, since 1 + 0 + 479 + 6 + 7 + 1 + 84 + 8 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×104796718488000² (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 a congruent number.

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, 144149543637 + ... + 144149544363.

It is an arithmetic number, because the mean of its divisors is an integer number (136854956160).

Almost surely, 2^{104796718488000} is an apocalyptic number.

104796718488000 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 104796718488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245244081438720).

104796718488000 is an abundant number, since it is smaller than the sum of its proper divisors (385691444389440).

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

104796718488000 is an equidigital number, since it uses as much as digits as its factorization.

104796718488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 104796718488000 in words is "one hundred four trillion, seven hundred ninety-six billion, seven hundred eighteen million, four hundred eighty-eight thousand".