115251462144 has 720 divisors, whose sum is σ = 428828282400. Its totient is φ = 30321672192.

The previous prime is 115251462101. The next prime is 115251462163. The reversal of 115251462144 is 441264152511.

115251462144 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 51 + 462 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115251462099 and 115251462108.

It is a congruent number.

It is an unprimeable number.

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, 281788212 + ... + 281788620.

Almost surely, 2^115251462144 is an apocalyptic number.

115251462144 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 115251462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214414141200).

115251462144 is an abundant number, since it is smaller than the sum of its proper divisors (313576820256).

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

115251462144 is an equidigital number, since it uses as much as digits as its factorization.

115251462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 434 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 115251462144 in words is "one hundred fifteen billion, two hundred fifty-one million, four hundred sixty-two thousand, one hundred forty-four".