93142732032 has 1008 divisors, whose sum is σ = 342298639872. Its totient is φ = 24723947520.

The previous prime is 93142732019. The next prime is 93142732049. The reversal of 93142732032 is 23023724139.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1981760233 + ... + 1981760279.

It is an arithmetic number, because the mean of its divisors is an integer number (339581984).

Almost surely, 2^93142732032 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 93142732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171149319936).

93142732032 is an abundant number, since it is smaller than the sum of its proper divisors (249155907840).

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

93142732032 is an equidigital number, since it uses as much as digits as its factorization.

93142732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 93142732032 in words is "ninety-three billion, one hundred forty-two million, seven hundred thirty-two thousand, thirty-two".