90489345408 has 768 divisors, whose sum is σ = 338607360000. Its totient is φ = 22514319360.

The previous prime is 90489345361. The next prime is 90489345467. The reversal of 90489345408 is 80454398409.

90489345408 is a `hidden beast` number, since 9 + 0 + 4 + 8 + 93 + 4 + 540 + 8 = 666.

It is a super-4 number, since 4×90489345408⁴ (a number of 45 digits) contains 4444 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, 259281618 + ... + 259281966.

It is an arithmetic number, because the mean of its divisors is an integer number (440895000).

Almost surely, 2^90489345408 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 90489345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680000).

90489345408 is an abundant number, since it is smaller than the sum of its proper divisors (248118014592).

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

90489345408 is a wasteful number, since it uses less digits than its factorization.

90489345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 90489345408 in words is "ninety billion, four hundred eighty-nine million, three hundred forty-five thousand, four hundred eight".