222049005578400 has 2304 divisors, whose sum is σ = 1000396130549760. Its totient is φ = 41292807782400.

The previous prime is 222049005578383. The next prime is 222049005578527. The reversal of 222049005578400 is 4875500940222.

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 222049005578400.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12081660411 + ... + 12081678789.

It is an arithmetic number, because the mean of its divisors is an integer number (434199709440).

Almost surely, 2^{222049005578400} is an apocalyptic number.

222049005578400 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 222049005578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500198065274880).

222049005578400 is an abundant number, since it is smaller than the sum of its proper divisors (778347124971360).

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

222049005578400 is a wasteful number, since it uses less digits than its factorization.

222049005578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18587 (or 18574 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 222049005578400 in words is "two hundred twenty-two trillion, forty-nine billion, five million, five hundred seventy-eight thousand, four hundred".