115001259090496 has 63 divisors (see below), whose sum is σ = 229328390196633. Its totient is φ = 57219106667520.

The previous prime is 115001259090491. The next prime is 115001259090503. The reversal of 115001259090496 is 694090952100511.

The square root of 115001259090496 is 10723864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52806963585600 + 62194295504896 = 7266840^2 + 7886336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115001259090491) 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 8 ways as a sum of consecutive naturals, for example, 18101879256 + ... + 18101885608.

Almost surely, 2^{115001259090496} is an apocalyptic number.

115001259090496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115001259090496 is the 10723864-th square number.

It is an amenable number.

115001259090496 is a deficient number, since it is larger than the sum of its proper divisors (114327131106137).

115001259090496 is an frugal number, since it uses more digits than its factorization.

115001259090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 6566 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 52.

The spelling of 115001259090496 in words is "one hundred fifteen trillion, one billion, two hundred fifty-nine million, ninety thousand, four hundred ninety-six".