22424254293312 has 168 divisors, whose sum is σ = 65174426928000. Its totient is φ = 7370620950528.

The previous prime is 22424254293257. The next prime is 22424254293347. The reversal of 22424254293312 is 21339245242422.

22424254293312 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 4 + 2 + 542 + 93 + 3 + 12 = 666.

It is a super-2 number, since 2×22424254293312² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18217939 + ... + 19409837.

Almost surely, 2^{22424254293312} 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 22424254293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32587213464000).

22424254293312 is an abundant number, since it is smaller than the sum of its proper divisors (42750172634688).

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

22424254293312 is a wasteful number, since it uses less digits than its factorization.

22424254293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192373 (or 1192360 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 22424254293312 in words is "twenty-two trillion, four hundred twenty-four billion, two hundred fifty-four million, two hundred ninety-three thousand, three hundred twelve".