90492990336 has 384 divisors, whose sum is σ = 306992125440. Its totient is φ = 25051852800.

The previous prime is 90492990317. The next prime is 90492990359. The reversal of 90492990336 is 63309929409.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×90492990336³ (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 47 ways as a sum of consecutive naturals, for example, 35472261 + ... + 35474811.

It is an arithmetic number, because the mean of its divisors is an integer number (799458660).

Almost surely, 2^90492990336 is an apocalyptic number.

90492990336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90492990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153496062720).

90492990336 is an abundant number, since it is smaller than the sum of its proper divisors (216499135104).

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

90492990336 is a wasteful number, since it uses less digits than its factorization.

90492990336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 90492990336 in words is "ninety billion, four hundred ninety-two million, nine hundred ninety thousand, three hundred thirty-six".