93769044352 has 128 divisors (see below), whose sum is σ = 194966676000. Its totient is φ = 44882804736.

The previous prime is 93769044289. The next prime is 93769044377. The reversal of 93769044352 is 25344096739.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 93769044352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113384163 + ... + 113384989.

Almost surely, 2^93769044352 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 93769044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97483338000).

93769044352 is an abundant number, since it is smaller than the sum of its proper divisors (101197631648).

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

93769044352 is a wasteful number, since it uses less digits than its factorization.

93769044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 93769044352 in words is "ninety-three billion, seven hundred sixty-nine million, forty-four thousand, three hundred fifty-two".