222451453341600 has 2880 divisors, whose sum is σ = 941747964272640. Its totient is φ = 45419144601600.

The previous prime is 222451453341563. The next prime is 222451453341613. The reversal of 222451453341600 is 6143354154222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 119149143867 + ... + 119149145733.

It is an arithmetic number, because the mean of its divisors is an integer number (326995820928).

Almost surely, 2^{222451453341600} is an apocalyptic number.

222451453341600 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 222451453341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470873982136320).

222451453341600 is an abundant number, since it is smaller than the sum of its proper divisors (719296510931040).

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

222451453341600 is a wasteful number, since it uses less digits than its factorization.

222451453341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 222451453341600 in words is "two hundred twenty-two trillion, four hundred fifty-one billion, four hundred fifty-three million, three hundred forty-one thousand, six hundred".