8693113968 has 160 divisors (see below), whose sum is σ = 31109675520. Its totient is φ = 2257943040.

The previous prime is 8693113873. The next prime is 8693113973.

8693113968 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 97405 + ... + 163932.

It is an arithmetic number, because the mean of its divisors is an integer number (194435472).

Almost surely, 2^8693113968 is an apocalyptic number.

8693113968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8693113968 is an abundant number, since it is smaller than the sum of its proper divisors (22416561552).

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

8693113968 is a wasteful number, since it uses less digits than its factorization.

8693113968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261372 (or 261360 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 8693113968 is about 93236.8702177417. The cubic root of 8693113968 is about 2056.1673457130.

The spelling of 8693113968 in words is "eight billion, six hundred ninety-three million, one hundred thirteen thousand, nine hundred sixty-eight".