22812480000 has 450 divisors, whose sum is σ = 83206403709. Its totient is φ = 6014976000.

The previous prime is 22812479993. The next prime is 22812480023. The reversal of 22812480000 is 8421822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 7606630656 + 15205849344 = 87216^2 + 123312^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106800.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 256319956 + ... + 256320044.

Almost surely, 2^22812480000 is an apocalyptic number.

22812480000 is a gapful number since it is divisible by the number (20) 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 22812480000

22812480000 is an abundant number, since it is smaller than the sum of its proper divisors (60393923709).

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

22812480000 is an frugal number, since it uses more digits than its factorization.

22812480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Multiplying 22812480000 by its product of nonzero digits (2048), we get a square (46719959040000 = 6835200²).

The spelling of 22812480000 in words is "twenty-two billion, eight hundred twelve million, four hundred eighty thousand".