104996019744000 has 2304 divisors, whose sum is σ = 484987552358400. Its totient is φ = 21732544512000.

The previous prime is 104996019743957. The next prime is 104996019744067. The reversal of 104996019744000 is 447910699401.

104996019744000 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 9 + 6 + 0 + 197 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×104996019744000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17896029067 + ... + 17896034933.

It is an arithmetic number, because the mean of its divisors is an integer number (210498069600).

Almost surely, 2^{104996019744000} is an apocalyptic number.

104996019744000 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 104996019744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242493776179200).

104996019744000 is an abundant number, since it is smaller than the sum of its proper divisors (379991532614400).

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

104996019744000 is a wasteful number, since it uses less digits than its factorization.

104996019744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6164 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 104996019744000 in words is "one hundred four trillion, nine hundred ninety-six billion, nineteen million, seven hundred forty-four thousand".