90159953477633 has 16 divisors (see below), whose sum is σ = 99430324800576. Its totient is φ = 81226150608960.

The previous prime is 90159953477611. The next prime is 90159953477639. The reversal of 90159953477633 is 33677435995109.

It is a Cullen number, since it is equal to 41×2⁴¹+1.

It is not a de Polignac number, because 90159953477633 - 2⁶ = 90159953477569 is a prime.

It is a super-2 number, since 2×90159953477633² (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 (90159953477639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61744610 + ... + 63187947.

It is an arithmetic number, because the mean of its divisors is an integer number (6214395300036).

It is a Proth number, since it is equal to 41 ⋅ 2⁴¹ + 1 and 41 < 2⁴¹.

Almost surely, 2^{90159953477633} is an apocalyptic number.

It is an amenable number.

90159953477633 is a deficient number, since it is larger than the sum of its proper divisors (9270371322943).

90159953477633 is a wasteful number, since it uses less digits than its factorization.

90159953477633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124933904.

The product of its (nonzero) digits is 578680200, while the sum is 71.

The spelling of 90159953477633 in words is "ninety trillion, one hundred fifty-nine billion, nine hundred fifty-three million, four hundred seventy-seven thousand, six hundred thirty-three".