22421201248968 has 256 divisors, whose sum is σ = 58724265600000. Its totient is φ = 7127369625600.

The previous prime is 22421201248967. The next prime is 22421201248969. The reversal of 22421201248968 is 86984210212422.

It is an interprime number because it is at equal distance from previous prime (22421201248967) and next prime (22421201248969).

It is a self number, because there is not a number n which added to its sum of digits gives 22421201248968.

It is not an unprimeable number, because it can be changed into a prime (22421201248967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8893771548 + ... + 8893774068.

It is an arithmetic number, because the mean of its divisors is an integer number (229391662500).

Almost surely, 2^{22421201248968} 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 22421201248968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29362132800000).

22421201248968 is an abundant number, since it is smaller than the sum of its proper divisors (36303064351032).

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

22421201248968 is a wasteful number, since it uses less digits than its factorization.

22421201248968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 22421201248968 in words is "twenty-two trillion, four hundred twenty-one billion, two hundred one million, two hundred forty-eight thousand, nine hundred sixty-eight".