90875629502641 has 27 divisors (see below), whose sum is σ = 92360080654849. Its totient is φ = 89414974409408.

The previous prime is 90875629502597. The next prime is 90875629502657. The reversal of 90875629502641 is 14620592657809.

The square root of 90875629502641 is 9532871.

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 10579764549025 + 80295864953616 = 3252655^2 + 8960796^2 .

It is not a de Polignac number, because 90875629502641 - 2²¹ = 90875627405489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90875629505641) 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, 194594495490 + ... + 194594495956.

Almost surely, 2^{90875629502641} is an apocalyptic number.

90875629502641 is the 9532871-st square number.

90875629502641 is the 4766436-th centered octagonal number.

It is an amenable number.

90875629502641 is a deficient number, since it is larger than the sum of its proper divisors (1484451152208).

90875629502641 is an frugal number, since it uses more digits than its factorization.

90875629502641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

The spelling of 90875629502641 in words is "ninety trillion, eight hundred seventy-five billion, six hundred twenty-nine million, five hundred two thousand, six hundred forty-one".