96181779887361 has 81 divisors (see below), whose sum is σ = 162581779647651. Its totient is φ = 54633024044928.

The previous prime is 96181779887329. The next prime is 96181779887383. The reversal of 96181779887361 is 16378897718169.

The square root of 96181779887361 is 9807231.

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

96181779887361 is a `hidden beast` number, since 9 + 6 + 1 + 8 + 177 + 9 + 8 + 87 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46240421600961 + 49941358286400 = 6800031^2 + 7066920^2 .

It is not a de Polignac number, because 96181779887361 - 2⁵ = 96181779887329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (96181779807361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36865380025 + ... + 36865382633.

Almost surely, 2^{96181779887361} is an apocalyptic number.

96181779887361 is the 9807231-st square number.

96181779887361 is the 4903616-th centered octagonal number.

It is an amenable number.

96181779887361 is a deficient number, since it is larger than the sum of its proper divisors (66399999760290).

96181779887361 is an frugal number, since it uses more digits than its factorization.

96181779887361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 2798 counting only the distinct ones).

The product of its digits is 1536288768, while the sum is 81.

The spelling of 96181779887361 in words is "ninety-six trillion, one hundred eighty-one billion, seven hundred seventy-nine million, eight hundred eighty-seven thousand, three hundred sixty-one".