90931015217616 has 160 divisors (see below), whose sum is σ = 270618891091968. Its totient is φ = 25771718730240.

The previous prime is 90931015217599. The next prime is 90931015217657. The reversal of 90931015217616 is 61671251013909.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 280235566 + ... + 280559858.

Almost surely, 2^{90931015217616} 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 90931015217616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135309445545984).

90931015217616 is an abundant number, since it is smaller than the sum of its proper divisors (179687875874352).

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

90931015217616 is a wasteful number, since it uses less digits than its factorization.

90931015217616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331009 (or 331003 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 90931015217616 in words is "ninety trillion, nine hundred thirty-one billion, fifteen million, two hundred seventeen thousand, six hundred sixteen".