90292353761281 has 12 divisors (see below), whose sum is σ = 105249638054208. Its totient is φ = 77234527280232.

The previous prime is 90292353761209. The next prime is 90292353761287. The reversal of 90292353761281 is 18216735329209.

It is a happy number.

It is not a de Polignac number, because 90292353761281 - 2¹⁵ = 90292353728513 is a prime.

It is a super-2 number, since 2×90292353761281² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90292353761287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1891866381 + ... + 1891914106.

It is an arithmetic number, because the mean of its divisors is an integer number (8770803171184).

Almost surely, 2^{90292353761281} is an apocalyptic number.

It is an amenable number.

90292353761281 is a deficient number, since it is larger than the sum of its proper divisors (14957284292927).

90292353761281 is a wasteful number, since it uses less digits than its factorization.

90292353761281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783780988 (or 3783780981 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 90292353761281 in words is "ninety trillion, two hundred ninety-two billion, three hundred fifty-three million, seven hundred sixty-one thousand, two hundred eighty-one".