22215231456000 has 1152 divisors, whose sum is σ = 83670729891840. Its totient is φ = 5174894592000.

The previous prime is 22215231455959. The next prime is 22215231456007. The reversal of 22215231456000 is 65413251222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (22215231456007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6829150374 + ... + 6829153626.

It is an arithmetic number, because the mean of its divisors is an integer number (72630841920).

Almost surely, 2^{22215231456000} is an apocalyptic number.

22215231456000 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 22215231456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41835364945920).

22215231456000 is an abundant number, since it is smaller than the sum of its proper divisors (61455498435840).

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

22215231456000 is a wasteful number, since it uses less digits than its factorization.

22215231456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 22215231456000 in words is "twenty-two trillion, two hundred fifteen billion, two hundred thirty-one million, four hundred fifty-six thousand".