90214288296561 has 48 divisors (see below), whose sum is σ = 153096273675072. Its totient is φ = 50467764816000.

The previous prime is 90214288296551. The next prime is 90214288296577. The reversal of 90214288296561 is 16569288241209.

90214288296561 is a `hidden beast` number, since 9 + 0 + 2 + 1 + 4 + 288 + 296 + 5 + 61 = 666.

It is not a de Polignac number, because 90214288296561 - 2⁶ = 90214288296497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90214288296551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35982886 + ... + 38408288.

It is an arithmetic number, because the mean of its divisors is an integer number (3189505701564).

Almost surely, 2^{90214288296561} is an apocalyptic number.

It is an amenable number.

90214288296561 is a deficient number, since it is larger than the sum of its proper divisors (62881985378511).

90214288296561 is a wasteful number, since it uses less digits than its factorization.

90214288296561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454334 (or 2454331 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 90214288296561 in words is "ninety trillion, two hundred fourteen billion, two hundred eighty-eight million, two hundred ninety-six thousand, five hundred sixty-one".