90459268259 has 16 divisors (see below), whose sum is σ = 98025665760. Its totient is φ = 83143065600.

The previous prime is 90459268247. The next prime is 90459268321. The reversal of 90459268259 is 95286295409.

It is a cyclic number.

It is not a de Polignac number, because 90459268259 - 2¹⁶ = 90459202723 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90459268198 and 90459268207.

It is not an unprimeable number, because it can be changed into a prime (90459268759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7011887 + ... + 7024775.

It is an arithmetic number, because the mean of its divisors is an integer number (6126604110).

Almost surely, 2^90459268259 is an apocalyptic number.

90459268259 is a deficient number, since it is larger than the sum of its proper divisors (7566397501).

90459268259 is a wasteful number, since it uses less digits than its factorization.

90459268259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22550.

The product of its (nonzero) digits is 13996800, while the sum is 59.

The spelling of 90459268259 in words is "ninety billion, four hundred fifty-nine million, two hundred sixty-eight thousand, two hundred fifty-nine".