93286867968 has 528 divisors, whose sum is σ = 326059260800. Its totient is φ = 26629005312.

The previous prime is 93286867943. The next prime is 93286868047. The reversal of 93286867968 is 86976868239.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 93286867896 and 93286867905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85348830 + ... + 85349922.

Almost surely, 2^93286867968 is an apocalyptic number.

93286867968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93286867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163029630400).

93286867968 is an abundant number, since it is smaller than the sum of its proper divisors (232772392832).

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

93286867968 is an equidigital number, since it uses as much as digits as its factorization.

93286867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1105 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 93286867968 in words is "ninety-three billion, two hundred eighty-six million, eight hundred sixty-seven thousand, nine hundred sixty-eight".