22468870330752 has 128 divisors (see below), whose sum is σ = 61299783417600. Its totient is φ = 7286750115840.

The previous prime is 22468870330727. The next prime is 22468870330757. The reversal of 22468870330752 is 25703307886422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 22468870330692 and 22468870330701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22468870330757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289960749 + ... + 290038227.

It is an arithmetic number, because the mean of its divisors is an integer number (478904557950).

Almost surely, 2^{22468870330752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22468870330752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30649891708800).

22468870330752 is an abundant number, since it is smaller than the sum of its proper divisors (38830913086848).

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

22468870330752 is a wasteful number, since it uses less digits than its factorization.

22468870330752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97944 (or 97932 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 22468870330752 in words is "twenty-two trillion, four hundred sixty-eight billion, eight hundred seventy million, three hundred thirty thousand, seven hundred fifty-two".