93782563488 has 72 divisors (see below), whose sum is σ = 266772381876. Its totient is φ = 31251686400.

The previous prime is 93782563423. The next prime is 93782563493. The reversal of 93782563488 is 88436528739.

93782563488 is a `hidden beast` number, since 9 + 3 + 78 + 25 + 63 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92253127824 + 1529435664 = 303732^2 + 39108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×93782563488² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 973828 + ... + 1065788.

Almost surely, 2^93782563488 is an apocalyptic number.

It is an amenable number.

93782563488 is an abundant number, since it is smaller than the sum of its proper divisors (172989818388).

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

93782563488 is a wasteful number, since it uses less digits than its factorization.

93782563488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95518 (or 95507 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 93782563488 in words is "ninety-three billion, seven hundred eighty-two million, five hundred sixty-three thousand, four hundred eighty-eight".