22052874144 has 144 divisors (see below), whose sum is σ = 69662527200. Its totient is φ = 6083513856.

The previous prime is 22052874143. The next prime is 22052874149. The reversal of 22052874144 is 44147825022.

It is a super-3 number, since 3×22052874144³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22052874143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55587 + ... + 217245.

It is an arithmetic number, because the mean of its divisors is an integer number (483767550).

Almost surely, 2^22052874144 is an apocalyptic number.

22052874144 is a gapful number since it is divisible by the number (24) 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 22052874144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34831263600).

22052874144 is an abundant number, since it is smaller than the sum of its proper divisors (47609653056).

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

22052874144 is a wasteful number, since it uses less digits than its factorization.

22052874144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161715 (or 161700 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 39.

The spelling of 22052874144 in words is "twenty-two billion, fifty-two million, eight hundred seventy-four thousand, one hundred forty-four".