91899640144900 has 81 divisors (see below), whose sum is σ = 231982642700319. Its totient is φ = 31508217975360.

The previous prime is 91899640144811. The next prime is 91899640144903. The reversal of 91899640144900 is 944104699819.

The square root of 91899640144900 is 9586430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29786074506244 + 62113565638656 = 5457662^2 + 7881216^2 .

It is not an unprimeable number, because it can be changed into a prime (91899640144903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 670981626 + ... + 671118574.

Almost surely, 2^{91899640144900} is an apocalyptic number.

91899640144900 is the 9586430-th square number.

It is an amenable number.

91899640144900 is an abundant number, since it is smaller than the sum of its proper divisors (140083002555419).

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

91899640144900 is an frugal number, since it uses more digits than its factorization.

91899640144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273926 (or 136963 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 64.

The spelling of 91899640144900 in words is "ninety-one trillion, eight hundred ninety-nine billion, six hundred forty million, one hundred forty-four thousand, nine hundred".