90016672991 has 12 divisors (see below), whose sum is σ = 104951824560. Its totient is φ = 76981373280.

The previous prime is 90016672973. The next prime is 90016673009. The reversal of 90016672991 is 19927661009.

It is an interprime number because it is at equal distance from previous prime (90016672973) and next prime (90016673009).

It is not a de Polignac number, because 90016672991 - 2⁶ = 90016672927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90016672091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2070830 + ... + 2113851.

It is an arithmetic number, because the mean of its divisors is an integer number (8745985380).

Almost surely, 2^90016672991 is an apocalyptic number.

90016672991 is a deficient number, since it is larger than the sum of its proper divisors (14935151569).

90016672991 is a wasteful number, since it uses less digits than its factorization.

90016672991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185134 (or 4185127 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 50.

The spelling of 90016672991 in words is "ninety billion, sixteen million, six hundred seventy-two thousand, nine hundred ninety-one".