115814455680 has 1536 divisors, whose sum is σ = 515390169600. Its totient is φ = 21772369920.

The previous prime is 115814455639. The next prime is 115814455703. The reversal of 115814455680 is 86554418511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 510195727 + ... + 510195953.

It is an arithmetic number, because the mean of its divisors is an integer number (335540475).

Almost surely, 2^115814455680 is an apocalyptic number.

115814455680 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 115814455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257695084800).

115814455680 is an abundant number, since it is smaller than the sum of its proper divisors (399575713920).

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

115814455680 is a wasteful number, since it uses less digits than its factorization.

115814455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 115814455680 in words is "one hundred fifteen billion, eight hundred fourteen million, four hundred fifty-five thousand, six hundred eighty".