22252523345010 has 216 divisors, whose sum is σ = 69543626233068. Its totient is φ = 4922216208000.

The previous prime is 22252523344981. The next prime is 22252523345029. The reversal of 22252523345010 is 1054332525222.

It is a happy number.

22252523345010 is a `hidden beast` number, since 2 + 2 + 2 + 52 + 523 + 34 + 50 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21357790859601 + 894732485409 = 4621449^2 + 945903^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1612660 + ... + 6863360.

Almost surely, 2^{22252523345010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22252523345010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34771813116534).

22252523345010 is an abundant number, since it is smaller than the sum of its proper divisors (47291102888058).

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

22252523345010 is a wasteful number, since it uses less digits than its factorization.

22252523345010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250790 (or 5250749 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 22252523345010 in words is "twenty-two trillion, two hundred fifty-two billion, five hundred twenty-three million, three hundred forty-five thousand, ten".