90940171829 has 32 divisors (see below), whose sum is σ = 100276915200. Its totient is φ = 81960802560.

The previous prime is 90940171801. The next prime is 90940171879. The reversal of 90940171829 is 92817104909.

It is not a de Polignac number, because 90940171829 - 2²⁴ = 90923394613 is a prime.

It is a super-2 number, since 2×90940171829² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90940171879) 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 31 ways as a sum of consecutive naturals, for example, 83201807 + ... + 83202899.

It is an arithmetic number, because the mean of its divisors is an integer number (3133653600).

Almost surely, 2^90940171829 is an apocalyptic number.

It is an amenable number.

90940171829 is a deficient number, since it is larger than the sum of its proper divisors (9336743371).

90940171829 is a wasteful number, since it uses less digits than its factorization.

90940171829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845.

The product of its (nonzero) digits is 326592, while the sum is 50.

The spelling of 90940171829 in words is "ninety billion, nine hundred forty million, one hundred seventy-one thousand, eight hundred twenty-nine".