115350010944 has 448 divisors, whose sum is σ = 368686080000. Its totient is φ = 31796330496.

The previous prime is 115350010943. The next prime is 115350010949. The reversal of 115350010944 is 449010053511.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×115350010944² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115350010943) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 256904032 + ... + 256904480.

It is an arithmetic number, because the mean of its divisors is an integer number (822960000).

Almost surely, 2^115350010944 is an apocalyptic number.

115350010944 is a gapful number since it is divisible by the number (14) 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 115350010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040000).

115350010944 is an abundant number, since it is smaller than the sum of its proper divisors (253336069056).

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

115350010944 is an equidigital number, since it uses as much as digits as its factorization.

115350010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 115350010944 in words is "one hundred fifteen billion, three hundred fifty million, ten thousand, nine hundred forty-four".