104512464000 has 2048 divisors, whose sum is σ = 494926848000. Its totient is φ = 21100953600.

The previous prime is 104512463927. The next prime is 104512464011. The reversal of 104512464000 is 464215401.

104512464000 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 12 + 4 + 640 + 0 + 0 = 666.

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

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, 976751947 + ... + 976752053.

It is an arithmetic number, because the mean of its divisors is an integer number (241663500).

Almost surely, 2^104512464000 is an apocalyptic number.

104512464000 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 104512464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247463424000).

104512464000 is an abundant number, since it is smaller than the sum of its proper divisors (390414384000).

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

104512464000 is a wasteful number, since it uses less digits than its factorization.

104512464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 104512464000 its reverse (464215401), we get a palindrome (104976679401).

The spelling of 104512464000 in words is "one hundred four billion, five hundred twelve million, four hundred sixty-four thousand".