90022464000 has 960 divisors, whose sum is σ = 376423407360. Its totient is φ = 20253081600.

The previous prime is 90022463963. The next prime is 90022464001. The reversal of 90022464000 is 46422009.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (90022464001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334655866 + ... + 334656134.

It is an arithmetic number, because the mean of its divisors is an integer number (392107716).

Almost surely, 2^90022464000 is an apocalyptic number.

90022464000 is a gapful number since it is divisible by the number (90) 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 90022464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188211703680).

90022464000 is an abundant number, since it is smaller than the sum of its proper divisors (286400943360).

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

90022464000 is a wasteful number, since it uses less digits than its factorization.

90022464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 90022464000 its reverse (46422009), we get a palindrome (90068886009).

The spelling of 90022464000 in words is "ninety billion, twenty-two million, four hundred sixty-four thousand".