90159953477634 has 96 divisors (see below), whose sum is σ = 198881337118464. Its totient is φ = 29513356266240.

The previous prime is 90159953477611. The next prime is 90159953477639. The reversal of 90159953477634 is 43677435995109.

It is a happy number.

90159953477634 is a `hidden beast` number, since 9 + 0 + 1 + 5 + 9 + 95 + 3 + 477 + 63 + 4 = 666.

It is a super-2 number, since 2×90159953477634² (a number of 29 digits) contains 22 as substring.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 280303369 + ... + 280624835.

It is an arithmetic number, because the mean of its divisors is an integer number (2071680594984).

Almost surely, 2^{90159953477634} is an apocalyptic number.

90159953477634 is an abundant number, since it is smaller than the sum of its proper divisors (108721383640830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90159953477634 is a wasteful number, since it uses less digits than its factorization.

90159953477634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322472 (or 322469 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 72.

The spelling of 90159953477634 in words is "ninety trillion, one hundred fifty-nine billion, nine hundred fifty-three million, four hundred seventy-seven thousand, six hundred thirty-four".