90116224029 has 32 divisors (see below), whose sum is σ = 148732953600. Its totient is φ = 53543851200.

The previous prime is 90116224019. The next prime is 90116224057. The reversal of 90116224029 is 92042261109.

90116224029 is a `hidden beast` number, since 9 + 0 + 1 + 1 + 622 + 4 + 0 + 29 = 666.

It is not a de Polignac number, because 90116224029 - 2⁵ = 90116223997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90116223984 and 90116224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90116224019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4416397 + ... + 4436754.

It is an arithmetic number, because the mean of its divisors is an integer number (4647904800).

Almost surely, 2^90116224029 is an apocalyptic number.

It is an amenable number.

90116224029 is a deficient number, since it is larger than the sum of its proper divisors (58616729571).

90116224029 is a wasteful number, since it uses less digits than its factorization.

90116224029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8853202 (or 8853196 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 90116224029 in words is "ninety billion, one hundred sixteen million, two hundred twenty-four thousand, twenty-nine".