90307598186961 has 27 divisors (see below), whose sum is σ = 130705787186793. Its totient is φ = 60084624043080.

The previous prime is 90307598186933. The next prime is 90307598186963. The reversal of 90307598186961 is 16968189570309.

The square root of 90307598186961 is 9503031.

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

90307598186961 is a `hidden beast` number, since 9 + 0 + 307 + 59 + 8 + 186 + 96 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-90307598186961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90307598186961.

It is not an unprimeable number, because it can be changed into a prime (90307598186963) 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, 15594470976 + ... + 15594476766.

Almost surely, 2^{90307598186961} is an apocalyptic number.

90307598186961 is the 9503031-st square number.

90307598186961 is the 4751516-th centered octagonal number.

It is an amenable number.

90307598186961 is a deficient number, since it is larger than the sum of its proper divisors (40398188999832).

90307598186961 is an frugal number, since it uses more digits than its factorization.

90307598186961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12682 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 90307598186961 in words is "ninety trillion, three hundred seven billion, five hundred ninety-eight million, one hundred eighty-six thousand, nine hundred sixty-one".