93161388544 has 320 divisors, whose sum is σ = 231645173760. Its totient is φ = 36546232320.

The previous prime is 93161388539. The next prime is 93161388559. The reversal of 93161388544 is 44588316139.

It is a super-2 number, since 2×93161388544² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93161388491 and 93161388500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299554149 + ... + 299554459.

It is an arithmetic number, because the mean of its divisors is an integer number (723891168).

Almost surely, 2^93161388544 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 93161388544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115822586880).

93161388544 is an abundant number, since it is smaller than the sum of its proper divisors (138483785216).

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

93161388544 is a wasteful number, since it uses less digits than its factorization.

93161388544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 475 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The spelling of 93161388544 in words is "ninety-three billion, one hundred sixty-one million, three hundred eighty-eight thousand, five hundred forty-four".