115464095061120 has 768 divisors, whose sum is σ = 433623971289600. Its totient is φ = 28141435256832.

The previous prime is 115464095061071. The next prime is 115464095061131. The reversal of 115464095061120 is 21160590464511.

115464095061120 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 6 + 4 + 0 + 9 + 5 + 0 + 611 + 20 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28306959241 + ... + 28306963319.

It is an arithmetic number, because the mean of its divisors is an integer number (564614545950).

Almost surely, 2^{115464095061120} is an apocalyptic number.

115464095061120 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 115464095061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216811985644800).

115464095061120 is an abundant number, since it is smaller than the sum of its proper divisors (318159876228480).

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

115464095061120 is a wasteful number, since it uses less digits than its factorization.

115464095061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7757 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 115464095061120 in words is "one hundred fifteen trillion, four hundred sixty-four billion, ninety-five million, sixty-one thousand, one hundred twenty".