90259899271441 has 9 divisors (see below), whose sum is σ = 90320943365289. Its totient is φ = 90198896426100.

The previous prime is 90259899271411. The next prime is 90259899271469. The reversal of 90259899271441 is 14417299895209.

The square root of 90259899271441 is 9500521.

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

It is not a de Polignac number, because 90259899271441 - 2¹³ = 90259899263249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90259899271411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21955701976 + ... + 21955706086.

It is an arithmetic number, because the mean of its divisors is an integer number (10035660373921).

Almost surely, 2^{90259899271441} is an apocalyptic number.

90259899271441 is the 9500521-st square number.

90259899271441 is the 4750261-st centered octagonal number.

It is an amenable number.

90259899271441 is a deficient number, since it is larger than the sum of its proper divisors (61044093848).

90259899271441 is an frugal number, since it uses more digits than its factorization.

90259899271441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12844 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 70.

The spelling of 90259899271441 in words is "ninety trillion, two hundred fifty-nine billion, eight hundred ninety-nine million, two hundred seventy-one thousand, four hundred forty-one".