115755091984 has 135 divisors (see below), whose sum is σ = 270844789917. Its totient is φ = 47784342144.

The previous prime is 115755091981. The next prime is 115755091987. The reversal of 115755091984 is 489190557511.

The square root of 115755091984 is 340228.

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

It is an interprime number because it is at equal distance from previous prime (115755091981) and next prime (115755091987).

It can be written as a sum of positive squares in only one way, i.e., 60699162384 + 55055929600 = 246372^2 + 234640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115755091981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 276264927 + ... + 276265345.

Almost surely, 2^115755091984 is an apocalyptic number.

115755091984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

115755091984 is the 340228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115755091984

115755091984 is an abundant number, since it is smaller than the sum of its proper divisors (155089697933).

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

115755091984 is an frugal number, since it uses more digits than its factorization.

115755091984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 55.

The spelling of 115755091984 in words is "one hundred fifteen billion, seven hundred fifty-five million, ninety-one thousand, nine hundred eighty-four".