104167863000 has 640 divisors, whose sum is σ = 376734758400. Its totient is φ = 26834976000.

The previous prime is 104167862999. The next prime is 104167863011. The reversal of 104167863000 is 368761401.

104167863000 is a `hidden beast` number, since 1 + 0 + 4 + 16 + 7 + 8 + 630 + 0 + 0 = 666.

104167863000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 339308847 + ... + 339309153.

It is an arithmetic number, because the mean of its divisors is an integer number (588648060).

Almost surely, 2^104167863000 is an apocalyptic number.

104167863000 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 104167863000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188367379200).

104167863000 is an abundant number, since it is smaller than the sum of its proper divisors (272566895400).

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

104167863000 is a wasteful number, since it uses less digits than its factorization.

104167863000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 104167863000 in words is "one hundred four billion, one hundred sixty-seven million, eight hundred sixty-three thousand".