104467968000 has 1040 divisors, whose sum is σ = 426732752160. Its totient is φ = 25214976000.

The previous prime is 104467967953. The next prime is 104467968049. The reversal of 104467968000 is 869764401.

104467968000 is a `hidden beast` number, since 104 + 467 + 9 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 456191886 + ... + 456192114.

It is an arithmetic number, because the mean of its divisors is an integer number (410319954).

Almost surely, 2^104467968000 is an apocalyptic number.

104467968000 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 104467968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213366376080).

104467968000 is an abundant number, since it is smaller than the sum of its proper divisors (322264784160).

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

104467968000 is an equidigital number, since it uses as much as digits as its factorization.

104467968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 104467968000 in words is "one hundred four billion, four hundred sixty-seven million, nine hundred sixty-eight thousand".