22226414629760 has 256 divisors, whose sum is σ = 58825843185600. Its totient is φ = 7963017216000.

The previous prime is 22226414629717. The next prime is 22226414629763. The reversal of 22226414629760 is 6792641462222.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22226414629763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176000240 + ... + 176126480.

Almost surely, 2^{22226414629760} is an apocalyptic number.

22226414629760 is a gapful number since it is divisible by the number (20) 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 22226414629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29412921592800).

22226414629760 is an abundant number, since it is smaller than the sum of its proper divisors (36599428555840).

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

22226414629760 is a wasteful number, since it uses less digits than its factorization.

22226414629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126641 (or 126629 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 22226414629760 in words is "twenty-two trillion, two hundred twenty-six billion, four hundred fourteen million, six hundred twenty-nine thousand, seven hundred sixty".