93834044304 has 480 divisors, whose sum is σ = 333575899776. Its totient is φ = 22341795840.

The previous prime is 93834044303. The next prime is 93834044377. The reversal of 93834044304 is 40344043839.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (93834044303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52803864 + ... + 52805640.

Almost surely, 2^93834044304 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 93834044304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166787949888).

93834044304 is an abundant number, since it is smaller than the sum of its proper divisors (239741855472).

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

93834044304 is a wasteful number, since it uses less digits than its factorization.

93834044304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 93834044304 in words is "ninety-three billion, eight hundred thirty-four million, forty-four thousand, three hundred four".