90022894416 has 480 divisors, whose sum is σ = 322240708608. Its totient is φ = 22821626880.

The previous prime is 90022894399. The next prime is 90022894427. The reversal of 90022894416 is 61449822009.

90022894416 is a `hidden beast` number, since 9 + 0 + 0 + 228 + 9 + 4 + 416 = 666.

It is a super-3 number, since 3×90022894416³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67838745 + ... + 67840071.

Almost surely, 2^90022894416 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 90022894416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161120354304).

90022894416 is an abundant number, since it is smaller than the sum of its proper divisors (232217814192).

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

90022894416 is a wasteful number, since it uses less digits than its factorization.

90022894416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 90022894416 in words is "ninety billion, twenty-two million, eight hundred ninety-four thousand, four hundred sixteen".