22258748160 has 720 divisors, whose sum is σ = 90016043040. Its totient is φ = 5202247680.

The previous prime is 22258748137. The next prime is 22258748209. The reversal of 22258748160 is 6184785222.

22258748160 is a `hidden beast` number, since 2 + 2 + 2 + 587 + 4 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 33073584 + ... + 33074256.

It is an arithmetic number, because the mean of its divisors is an integer number (125022282).

Almost surely, 2^22258748160 is an apocalyptic number.

22258748160 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 22258748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45008021520).

22258748160 is an abundant number, since it is smaller than the sum of its proper divisors (67757294880).

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

22258748160 is a wasteful number, since it uses less digits than its factorization.

22258748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 22258748160 in words is "twenty-two billion, two hundred fifty-eight million, seven hundred forty-eight thousand, one hundred sixty".