22451306496000 has 1152 divisors, whose sum is σ = 80216965954944. Its totient is φ = 5556613939200.

The previous prime is 22451306495993. The next prime is 22451306496011. The reversal of 22451306496000 is 69460315422.

It is a super-2 number, since 2×22451306496000² (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 63 ways as a sum of consecutive naturals, for example, 81051647862 + ... + 81051648138.

It is an arithmetic number, because the mean of its divisors is an integer number (69632782947).

Almost surely, 2^{22451306496000} is an apocalyptic number.

22451306496000 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 22451306496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40108482977472).

22451306496000 is an abundant number, since it is smaller than the sum of its proper divisors (57765659458944).

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

22451306496000 is an frugal number, since it uses more digits than its factorization.

22451306496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 22451306496000 in words is "twenty-two trillion, four hundred fifty-one billion, three hundred six million, four hundred ninety-six thousand".