90314216832 has 256 divisors, whose sum is σ = 281705656320. Its totient is φ = 25099683840.

The previous prime is 90314216753. The next prime is 90314216843. The reversal of 90314216832 is 23861241309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30397107 + ... + 30400077.

It is an arithmetic number, because the mean of its divisors is an integer number (1100412720).

Almost surely, 2^90314216832 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 90314216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140852828160).

90314216832 is an abundant number, since it is smaller than the sum of its proper divisors (191391439488).

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

90314216832 is a wasteful number, since it uses less digits than its factorization.

90314216832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 90314216832 in words is "ninety billion, three hundred fourteen million, two hundred sixteen thousand, eight hundred thirty-two".