90954782352 has 360 divisors, whose sum is σ = 313824288960. Its totient is φ = 24450854400.

The previous prime is 90954782323. The next prime is 90954782381. The reversal of 90954782352 is 25328745909.

90954782352 is a `hidden beast` number, since 90 + 9 + 547 + 8 + 2 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (90954782323) and next prime (90954782381).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20241418 + ... + 20245910.

It is an arithmetic number, because the mean of its divisors is an integer number (871734136).

Almost surely, 2^90954782352 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 90954782352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156912144480).

90954782352 is an abundant number, since it is smaller than the sum of its proper divisors (222869506608).

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

90954782352 is a wasteful number, since it uses less digits than its factorization.

90954782352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 90954782352 in words is "ninety billion, nine hundred fifty-four million, seven hundred eighty-two thousand, three hundred fifty-two".