104431554864 has 480 divisors, whose sum is σ = 366576537600. Its totient is φ = 27021496320.

The previous prime is 104431554853. The next prime is 104431554881. The reversal of 104431554864 is 468455134401.

104431554864 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 31 + 554 + 8 + 64 = 666.

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 95 ways as a sum of consecutive naturals, for example, 290895517 + ... + 290895875.

It is an arithmetic number, because the mean of its divisors is an integer number (763701120).

Almost surely, 2^104431554864 is an apocalyptic number.

104431554864 is a gapful number since it is divisible by the number (14) 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 104431554864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183288268800).

104431554864 is an abundant number, since it is smaller than the sum of its proper divisors (262144982736).

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

104431554864 is a wasteful number, since it uses less digits than its factorization.

104431554864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 104431554864 in words is "one hundred four billion, four hundred thirty-one million, five hundred fifty-four thousand, eight hundred sixty-four".