90414738891 has 16 divisors (see below), whose sum is σ = 135782665120. Its totient is φ = 59450785920.

The previous prime is 90414738889. The next prime is 90414738923. The reversal of 90414738891 is 19883741409.

90414738891 is a `hidden beast` number, since 9 + 0 + 4 + 1 + 473 + 88 + 91 = 666.

It is not a de Polignac number, because 90414738891 - 2¹ = 90414738889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90414738811) 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 15 ways as a sum of consecutive naturals, for example, 22934290 + ... + 22938231.

It is an arithmetic number, because the mean of its divisors is an integer number (8486416570).

Almost surely, 2^90414738891 is an apocalyptic number.

90414738891 is a deficient number, since it is larger than the sum of its proper divisors (45367926229).

90414738891 is a wasteful number, since it uses less digits than its factorization.

90414738891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45872603 (or 45872597 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 90414738891 in words is "ninety billion, four hundred fourteen million, seven hundred thirty-eight thousand, eight hundred ninety-one".