93714382944 has 576 divisors, whose sum is σ = 340505786880. Its totient is φ = 24552253440.

The previous prime is 93714382921. The next prime is 93714382969. The reversal of 93714382944 is 44928341739.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283124859 + ... + 283125189.

It is an arithmetic number, because the mean of its divisors is an integer number (591155880).

Almost surely, 2^93714382944 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 93714382944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170252893440).

93714382944 is an abundant number, since it is smaller than the sum of its proper divisors (246791403936).

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

93714382944 is a wasteful number, since it uses less digits than its factorization.

93714382944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 633 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 93714382944 in words is "ninety-three billion, seven hundred fourteen million, three hundred eighty-two thousand, nine hundred forty-four".