22421434610456 has 64 divisors (see below), whose sum is σ = 48816569134080. Its totient is φ = 9455373607680.

The previous prime is 22421434610317. The next prime is 22421434610459. The reversal of 22421434610456 is 65401643412422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22421434610459) 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, 138236 + ... + 6697908.

It is an arithmetic number, because the mean of its divisors is an integer number (762758892720).

Almost surely, 2^{22421434610456} 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 22421434610456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408284567040).

22421434610456 is an abundant number, since it is smaller than the sum of its proper divisors (26395134523624).

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

22421434610456 is a wasteful number, since it uses less digits than its factorization.

22421434610456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6560664 (or 6560660 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 22421434610456 in words is "twenty-two trillion, four hundred twenty-one billion, four hundred thirty-four million, six hundred ten thousand, four hundred fifty-six".