90936613845 has 320 divisors, whose sum is σ = 211739235840. Its totient is φ = 36229939200.

The previous prime is 90936613819. The next prime is 90936613871. The reversal of 90936613845 is 54831663909.

It is an interprime number because it is at equal distance from previous prime (90936613819) and next prime (90936613871).

It is not a de Polignac number, because 90936613845 - 2¹⁰ = 90936612821 is a prime.

It is a super-3 number, since 3×90936613845³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90936613791 and 90936613800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 174542185 + ... + 174542705.

It is an arithmetic number, because the mean of its divisors is an integer number (661685112).

Almost surely, 2^90936613845 is an apocalyptic number.

It is an amenable number.

90936613845 is an abundant number, since it is smaller than the sum of its proper divisors (120802621995).

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

90936613845 is a wasteful number, since it uses less digits than its factorization.

90936613845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 90936613845 in words is "ninety billion, nine hundred thirty-six million, six hundred thirteen thousand, eight hundred forty-five".