91884487968 has 576 divisors, whose sum is σ = 340479659520. Its totient is φ = 23890857984.

The previous prime is 91884487967. The next prime is 91884487973. The reversal of 91884487968 is 86978448819.

It is a happy number.

91884487968 is a `hidden beast` number, since 9 + 1 + 8 + 84 + 487 + 9 + 68 = 666.

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 = 91884487896 and 91884487905.

It is not an unprimeable number, because it can be changed into a prime (91884487963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40175721 + ... + 40178007.

It is an arithmetic number, because the mean of its divisors is an integer number (591110520).

Almost surely, 2^91884487968 is an apocalyptic number.

91884487968 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 91884487968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170239829760).

91884487968 is an abundant number, since it is smaller than the sum of its proper divisors (248595171552).

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

91884487968 is a wasteful number, since it uses less digits than its factorization.

91884487968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2385 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 72.

The spelling of 91884487968 in words is "ninety-one billion, eight hundred eighty-four million, four hundred eighty-seven thousand, nine hundred sixty-eight".