115674531840 has 1152 divisors, whose sum is σ = 493680096000. Its totient is φ = 25416695808.

The previous prime is 115674531839. The next prime is 115674531857. The reversal of 115674531840 is 48135476511.

115674531840 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 74 + 531 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505128846 + ... + 505129074.

It is an arithmetic number, because the mean of its divisors is an integer number (428541750).

Almost surely, 2^115674531840 is an apocalyptic number.

115674531840 is a gapful number since it is divisible by the number (10) 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 115674531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246840048000).

115674531840 is an abundant number, since it is smaller than the sum of its proper divisors (378005564160).

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

115674531840 is an equidigital number, since it uses as much as digits as its factorization.

115674531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 115674531840 in words is "one hundred fifteen billion, six hundred seventy-four million, five hundred thirty-one thousand, eight hundred forty".