90159953477632 has 84 divisors (see below), whose sum is σ = 184717953466326. Its totient is φ = 43980465111040.

The previous prime is 90159953477611. The next prime is 90159953477639. The reversal of 90159953477632 is 23677435995109.

It can be written as a sum of positive squares in only one way, i.e., 89060441849856 + 1099511627776 = 9437184^2 + 1048576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=41, B=2.

It is a super-2 number, since 2×90159953477632² (a number of 29 digits) contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (90159953477639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2199023255532 + ... + 2199023255572.

Almost surely, 2^{90159953477632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90159953477632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92358976733163).

90159953477632 is an abundant number, since it is smaller than the sum of its proper divisors (94557999988694).

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

90159953477632 is an frugal number, since it uses more digits than its factorization.

90159953477632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 385786800, while the sum is 70.

The spelling of 90159953477632 in words is "ninety trillion, one hundred fifty-nine billion, nine hundred fifty-three million, four hundred seventy-seven thousand, six hundred thirty-two".