90914208000 has 1152 divisors, whose sum is σ = 385697894400. Its totient is φ = 18816000000.

The previous prime is 90914207983. The next prime is 90914208017. The reversal of 90914208000 is 80241909.

It is an interprime number because it is at equal distance from previous prime (90914207983) and next prime (90914208017).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 362207875 + ... + 362208125.

It is an arithmetic number, because the mean of its divisors is an integer number (334807200).

Almost surely, 2^90914208000 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 90914208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192848947200).

90914208000 is an abundant number, since it is smaller than the sum of its proper divisors (294783686400).

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

90914208000 is a wasteful number, since it uses less digits than its factorization.

90914208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

Adding to 90914208000 its reverse (80241909), we get a palindrome (90994449909).

The spelling of 90914208000 in words is "ninety billion, nine hundred fourteen million, two hundred eight thousand".