8591048240401 has 81 divisors (see below), whose sum is σ = 9927946791441. Its totient is φ = 7428450585600.

The previous prime is 8591048240387. The next prime is 8591048240477. The reversal of 8591048240401 is 1040428401958.

The square root of 8591048240401 is 2931049.

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 2860884702225 + 5730163538176 = 1691415^2 + 2393776^2 .

It is not a de Polignac number, because 8591048240401 - 2³⁷ = 8453609286929 is a prime.

It is a super-2 number, since 2×8591048240401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8591048220401) 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, 88567507585 + ... + 88567507681.

Almost surely, 2^{8591048240401} is an apocalyptic number.

8591048240401 is the 2931049-th square number.

8591048240401 is the 1465525-th centered octagonal number.

It is an amenable number.

8591048240401 is a deficient number, since it is larger than the sum of its proper divisors (1336898551040).

8591048240401 is an frugal number, since it uses more digits than its factorization.

8591048240401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 8591048240401 in words is "eight trillion, five hundred ninety-one billion, forty-eight million, two hundred forty thousand, four hundred one".