115146915840 has 768 divisors, whose sum is σ = 451467993600. Its totient is φ = 26895974400.

The previous prime is 115146915827. The next prime is 115146915841. The reversal of 115146915840 is 48519641511.

115146915840 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 4 + 69 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115146915841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502824846 + ... + 502825074.

It is an arithmetic number, because the mean of its divisors is an integer number (587848950).

Almost surely, 2^115146915840 is an apocalyptic number.

115146915840 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 115146915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225733996800).

115146915840 is an abundant number, since it is smaller than the sum of its proper divisors (336321077760).

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

115146915840 is a wasteful number, since it uses less digits than its factorization.

115146915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 115146915840 in words is "one hundred fifteen billion, one hundred forty-six million, nine hundred fifteen thousand, eight hundred forty".