104766266304 has 504 divisors, whose sum is σ = 365220430848. Its totient is φ = 28122577920.

The previous prime is 104766266273. The next prime is 104766266327. The reversal of 104766266304 is 403662667401.

It is a happy number.

104766266304 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 6 + 6 + 2 + 6 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 104766266304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243076969 + ... + 243077399.

It is an arithmetic number, because the mean of its divisors is an integer number (724643712).

Almost surely, 2^104766266304 is an apocalyptic number.

104766266304 is a gapful number since it is divisible by the number (14) 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 104766266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182610215424).

104766266304 is an abundant number, since it is smaller than the sum of its proper divisors (260454164544).

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

104766266304 is a wasteful number, since it uses less digits than its factorization.

104766266304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 104766266304 in words is "one hundred four billion, seven hundred sixty-six million, two hundred sixty-six thousand, three hundred four".