22358705242224 has 160 divisors (see below), whose sum is σ = 63037905315840. Its totient is φ = 6787603113984.

The previous prime is 22358705242219. The next prime is 22358705242249. The reversal of 22358705242224 is 42224250785322.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25278397 + ... + 26147939.

It is an arithmetic number, because the mean of its divisors is an integer number (393986908224).

Almost surely, 2^{22358705242224} is an apocalyptic number.

22358705242224 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 22358705242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31518952657920).

22358705242224 is an abundant number, since it is smaller than the sum of its proper divisors (40679200073616).

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

22358705242224 is a wasteful number, since it uses less digits than its factorization.

22358705242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870119 (or 870113 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 48.

The spelling of 22358705242224 in words is "twenty-two trillion, three hundred fifty-eight billion, seven hundred five million, two hundred forty-two thousand, two hundred twenty-four".