93916764144 has 400 divisors, whose sum is σ = 324788587200. Its totient is φ = 26173808640.

The previous prime is 93916764113. The next prime is 93916764167. The reversal of 93916764144 is 44146761939.

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 79 ways as a sum of consecutive naturals, for example, 18223072 + ... + 18228224.

It is an arithmetic number, because the mean of its divisors is an integer number (811971468).

Almost surely, 2^93916764144 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 93916764144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162394293600).

93916764144 is an abundant number, since it is smaller than the sum of its proper divisors (230871823056).

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

93916764144 is a wasteful number, since it uses less digits than its factorization.

93916764144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5206 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 93916764144 in words is "ninety-three billion, nine hundred sixteen million, seven hundred sixty-four thousand, one hundred forty-four".