104763456000 has 800 divisors, whose sum is σ = 446141659392. Its totient is φ = 23937638400.

The previous prime is 104763455989. The next prime is 104763456053. The reversal of 104763456000 is 654367401.

It is a happy number.

104763456000 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 6 + 3 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36286557 + ... + 36289443.

Almost surely, 2^104763456000 is an apocalyptic number.

104763456000 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 104763456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223070829696).

104763456000 is an abundant number, since it is smaller than the sum of its proper divisors (341378203392).

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

104763456000 is an frugal number, since it uses more digits than its factorization.

104763456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 104763456000 in words is "one hundred four billion, seven hundred sixty-three million, four hundred fifty-six thousand".