104044953600000 has 2160 divisors, whose sum is σ = 451972836945630. Its totient is φ = 23781703680000.

The previous prime is 104044953599957. The next prime is 104044953600037. The reversal of 104044953600000 is 6359440401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

104044953600000 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 49 + 5 + 3 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 149824733184 + 103895128866816 = 387072^2 + 10192896^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 14863564799997 + ... + 14863564800003.

Almost surely, 2^{104044953600000} is an apocalyptic number.

104044953600000 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 104044953600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225986418472815).

104044953600000 is an abundant number, since it is smaller than the sum of its proper divisors (347927883345630).

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

104044953600000 is an frugal number, since it uses more digits than its factorization.

104044953600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

104044953600000 divided by its product of nonzero digits (51840) gives a square (2007040000 = 44800²).

The spelling of 104044953600000 in words is "one hundred four trillion, forty-four billion, nine hundred fifty-three million, six hundred thousand".