104648544000 has 2304 divisors, whose sum is σ = 522834923520. Its totient is φ = 20072448000.

The previous prime is 104648543981. The next prime is 104648544017. The reversal of 104648544000 is 445846401.

It is a happy number.

104648544000 is a `hidden beast` number, since 1 + 0 + 4 + 648 + 5 + 4 + 4 + 0 + 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 2×104648544000² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8049887994 + ... + 8049888006.

It is an arithmetic number, because the mean of its divisors is an integer number (226924880).

Almost surely, 2^104648544000 is an apocalyptic number.

104648544000 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 104648544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261417461760).

104648544000 is an abundant number, since it is smaller than the sum of its proper divisors (418186379520).

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

104648544000 is an equidigital number, since it uses as much as digits as its factorization.

104648544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 104648544000 in words is "one hundred four billion, six hundred forty-eight million, five hundred forty-four thousand".