90853667496 has 160 divisors (see below), whose sum is σ = 261551664000. Its totient is φ = 29453808384.

The previous prime is 90853667483. The next prime is 90853667549. The reversal of 90853667496 is 69476635809.

90853667496 is a `hidden beast` number, since 9 + 0 + 8 + 536 + 6 + 7 + 4 + 96 = 666.

It is a super-4 number, since 4×90853667496⁴ (a number of 45 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3416620 + ... + 3443108.

It is an arithmetic number, because the mean of its divisors is an integer number (1634697900).

Almost surely, 2^90853667496 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 90853667496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130775832000).

90853667496 is an abundant number, since it is smaller than the sum of its proper divisors (170697996504).

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

90853667496 is a wasteful number, since it uses less digits than its factorization.

90853667496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26653 (or 26640 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 90853667496 in words is "ninety billion, eight hundred fifty-three million, six hundred sixty-seven thousand, four hundred ninety-six".