104644144044000 has 288 divisors, whose sum is σ = 405144074855520. Its totient is φ = 25368277248000.

The previous prime is 104644144043977. The next prime is 104644144044061. The reversal of 104644144044000 is 440441446401.

104644144044000 is a `hidden beast` number, since 1 + 0 + 4 + 644 + 1 + 4 + 4 + 0 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131730445 + ... + 132522444.

It is an arithmetic number, because the mean of its divisors is an integer number (1406750259915).

Almost surely, 2^{104644144044000} is an apocalyptic number.

104644144044000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104644144044000 is an abundant number, since it is smaller than the sum of its proper divisors (300499930811520).

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

104644144044000 is a wasteful number, since it uses less digits than its factorization.

104644144044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264252931 (or 264252910 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 104644144044000 in words is "one hundred four trillion, six hundred forty-four billion, one hundred forty-four million, forty-four thousand".