22088465460 has 144 divisors (see below), whose sum is σ = 68752796112. Its totient is φ = 5736806400.

The previous prime is 22088465393. The next prime is 22088465507. The reversal of 22088465460 is 6456488022.

22088465460 is a `hidden beast` number, since 2 + 20 + 8 + 84 + 6 + 546 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 722211876 + 21366253584 = 26874^2 + 146172^2 .

It is a super-2 number, since 2×22088465460² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4994050 + ... + 4998470.

It is an arithmetic number, because the mean of its divisors is an integer number (477449973).

Almost surely, 2^22088465460 is an apocalyptic number.

22088465460 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 22088465460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34376398056).

22088465460 is an abundant number, since it is smaller than the sum of its proper divisors (46664330652).

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

22088465460 is a wasteful number, since it uses less digits than its factorization.

22088465460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 22088465460 in words is "twenty-two billion, eighty-eight million, four hundred sixty-five thousand, four hundred sixty".