22290468480 has 288 divisors, whose sum is σ = 89539727940. Its totient is φ = 5094899712.

The previous prime is 22290468461. The next prime is 22290468511. The reversal of 22290468480 is 8486409222.

22290468480 is a `hidden beast` number, since 2 + 22 + 90 + 4 + 68 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20248151616 + 2042316864 = 142296^2 + 45192^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242752 + ... + 321728.

Almost surely, 2^22290468480 is an apocalyptic number.

22290468480 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 22290468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44769863970).

22290468480 is an abundant number, since it is smaller than the sum of its proper divisors (67249259460).

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

22290468480 is a wasteful number, since it uses less digits than its factorization.

22290468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79016 (or 78994 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22290468480 in words is "twenty-two billion, two hundred ninety million, four hundred sixty-eight thousand, four hundred eighty".