93997664982144 has 1152 divisors, whose sum is σ = 358291734528000. Its totient is φ = 23089793126400.

The previous prime is 93997664982119. The next prime is 93997664982167. The reversal of 93997664982144 is 44128946679939.

93997664982144 is a `hidden beast` number, since 9 + 3 + 9 + 9 + 7 + 66 + 498 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×93997664982144² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11475721089 + ... + 11475729279.

Almost surely, 2^{93997664982144} 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 93997664982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179145867264000).

93997664982144 is an abundant number, since it is smaller than the sum of its proper divisors (264294069545856).

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

93997664982144 is a wasteful number, since it uses less digits than its factorization.

93997664982144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8852 counting only the distinct ones).

The product of its digits is 5079158784, while the sum is 81.

The spelling of 93997664982144 in words is "ninety-three trillion, nine hundred ninety-seven billion, six hundred sixty-four million, nine hundred eighty-two thousand, one hundred forty-four".