104042163456 has 216 divisors, whose sum is σ = 374000687424. Its totient is φ = 27023892480.

The previous prime is 104042163443. The next prime is 104042163503. The reversal of 104042163456 is 654361240401.

104042163456 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 42 + 163 + 456 = 666.

104042163456 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 self number, because there is not a number n which added to its sum of digits gives 104042163456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115821 + ... + 470636.

It is an arithmetic number, because the mean of its divisors is an integer number (1731484664).

Almost surely, 2^104042163456 is an apocalyptic number.

104042163456 is a gapful number since it is divisible by the number (16) 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 104042163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187000343712).

104042163456 is an abundant number, since it is smaller than the sum of its proper divisors (269958523968).

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

104042163456 is a wasteful number, since it uses less digits than its factorization.

104042163456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586497 (or 586480 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 104042163456 in words is "one hundred four billion, forty-two million, one hundred sixty-three thousand, four hundred fifty-six".