91886584384 has 63 divisors (see below), whose sum is σ = 212146010937. Its totient is φ = 39372689664.

The previous prime is 91886584381. The next prime is 91886584397. The reversal of 91886584384 is 48348568819.

It is a happy number.

The square root of 91886584384 is 303128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19993960000 + 71892624384 = 141400^2 + 268128^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (91886584381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16972462 + ... + 16977874.

It is an arithmetic number, because the mean of its divisors is an integer number (3367396999).

Almost surely, 2^91886584384 is an apocalyptic number.

91886584384 is the 303128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91886584384

91886584384 is an abundant number, since it is smaller than the sum of its proper divisors (120259426553).

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

91886584384 is an frugal number, since it uses more digits than its factorization.

91886584384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10852 (or 5422 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 64.

Multiplying 91886584384 by its sum of digits (64), we get a square (5880741400576 = 2425024²).

91886584384 divided by its sum of digits (64) gives a square (1435727881 = 37891²).

The spelling of 91886584384 in words is "ninety-one billion, eight hundred eighty-six million, five hundred eighty-four thousand, three hundred eighty-four".