104631912000 has 1568 divisors, whose sum is σ = 486447047424. Its totient is φ = 21648384000.

The previous prime is 104631911963. The next prime is 104631912017. The reversal of 104631912000 is 219136401.

104631912000 is a `hidden beast` number, since 1 + 0 + 4 + 631 + 9 + 1 + 20 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 223 ways as a sum of consecutive naturals, for example, 449063884 + ... + 449064116.

Almost surely, 2^104631912000 is an apocalyptic number.

104631912000 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 104631912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243223523712).

104631912000 is an abundant number, since it is smaller than the sum of its proper divisors (381815135424).

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

104631912000 is an equidigital number, since it uses as much as digits as its factorization.

104631912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 104631912000 in words is "one hundred four billion, six hundred thirty-one million, nine hundred twelve thousand".