104115469584672 has 1920 divisors, whose sum is σ = 418777128000000. Its totient is φ = 25115248779264.

The previous prime is 104115469584641. The next prime is 104115469584677. The reversal of 104115469584672 is 276485964511401.

104115469584672 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 1 + 5 + 46 + 9 + 584 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (104115469584677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6368299954 + ... + 6368316302.

It is an arithmetic number, because the mean of its divisors is an integer number (218113087500).

Almost surely, 2^{104115469584672} is an apocalyptic number.

104115469584672 is a gapful number since it is divisible by the number (12) 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 104115469584672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209388564000000).

104115469584672 is an abundant number, since it is smaller than the sum of its proper divisors (314661658415328).

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

104115469584672 is a wasteful number, since it uses less digits than its factorization.

104115469584672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16453 (or 16422 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 104115469584672 in words is "one hundred four trillion, one hundred fifteen billion, four hundred sixty-nine million, five hundred eighty-four thousand, six hundred seventy-two".