73113863904 has 144 divisors (see below), whose sum is σ = 217175841792. Its totient is φ = 23288204544.

The previous prime is 73113863899. The next prime is 73113863939. The reversal of 73113863904 is 40936831137.

73113863904 is a `hidden beast` number, since 7 + 3 + 1 + 1 + 3 + 8 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 73113863904.

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, 7301269 + ... + 7311275.

It is an arithmetic number, because the mean of its divisors is an integer number (1508165568).

Almost surely, 2^73113863904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73113863904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108587920896).

73113863904 is an abundant number, since it is smaller than the sum of its proper divisors (144061977888).

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

73113863904 is a wasteful number, since it uses less digits than its factorization.

73113863904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 73113863904 in words is "seventy-three billion, one hundred thirteen million, eight hundred sixty-three thousand, nine hundred four".