222126549928416 has 2304 divisors, whose sum is σ = 869458157568000. Its totient is φ = 54245415813120.

The previous prime is 222126549928411. The next prime is 222126549928427. The reversal of 222126549928416 is 614829945621222.

222126549928416 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 2 + 6 + 549 + 9 + 2 + 84 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222126549928411) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59408008275 + ... + 59408012013.

It is an arithmetic number, because the mean of its divisors is an integer number (377368992000).

Almost surely, 2^{222126549928416} 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 222126549928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434729078784000).

222126549928416 is an abundant number, since it is smaller than the sum of its proper divisors (647331607639584).

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

222126549928416 is a wasteful number, since it uses less digits than its factorization.

222126549928416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3927 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 222126549928416 in words is "two hundred twenty-two trillion, one hundred twenty-six billion, five hundred forty-nine million, nine hundred twenty-eight thousand, four hundred sixteen".