9024922368000 has 3072 divisors, whose sum is σ = 43017014476800. Its totient is φ = 1811496960000.

The previous prime is 9024922367977. The next prime is 9024922368043. The reversal of 9024922368000 is 8632294209.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16498943727 + ... + 16498944273.

It is an arithmetic number, because the mean of its divisors is an integer number (14002934400).

Almost surely, 2^{9024922368000} is an apocalyptic number.

9024922368000 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 9024922368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21508507238400).

9024922368000 is an abundant number, since it is smaller than the sum of its proper divisors (33992092108800).

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

9024922368000 is a wasteful number, since it uses less digits than its factorization.

9024922368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 9024922368000 in words is "nine trillion, twenty-four billion, nine hundred twenty-two million, three hundred sixty-eight thousand".