222824825414400 has 864 divisors, whose sum is σ = 820381169744640. Its totient is φ = 52806131712000.

The previous prime is 222824825414353. The next prime is 222824825414447. The reversal of 222824825414400 is 4414528428222.

It is an interprime number because it is at equal distance from previous prime (222824825414353) and next prime (222824825414447).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 222824825414400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2099908546 + ... + 2100014654.

It is an arithmetic number, because the mean of its divisors is an integer number (949515242760).

Almost surely, 2^{222824825414400} is an apocalyptic number.

222824825414400 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 222824825414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410190584872320).

222824825414400 is an abundant number, since it is smaller than the sum of its proper divisors (597556344330240).

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

222824825414400 is a wasteful number, since it uses less digits than its factorization.

222824825414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106373 (or 106354 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 48.

The spelling of 222824825414400 in words is "two hundred twenty-two trillion, eight hundred twenty-four billion, eight hundred twenty-five million, four hundred fourteen thousand, four hundred".