115001445665400 has 576 divisors, whose sum is σ = 430109905132800. Its totient is φ = 24896563384320.

The previous prime is 115001445665333. The next prime is 115001445665423. The reversal of 115001445665400 is 4566544100511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9632412631 + ... + 9632424569.

It is an arithmetic number, because the mean of its divisors is an integer number (746718585300).

Almost surely, 2^{115001445665400} is an apocalyptic number.

115001445665400 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 115001445665400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215054952566400).

115001445665400 is an abundant number, since it is smaller than the sum of its proper divisors (315108459467400).

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

115001445665400 is a wasteful number, since it uses less digits than its factorization.

115001445665400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18356 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

Adding to 115001445665400 its reverse (4566544100511), we get a palindrome (119567989765911).

The spelling of 115001445665400 in words is "one hundred fifteen trillion, one billion, four hundred forty-five million, six hundred sixty-five thousand, four hundred".