222764266057600 has 384 divisors, whose sum is σ = 563324971680000. Its totient is φ = 87017630515200.

The previous prime is 222764266057577. The next prime is 222764266057631. The reversal of 222764266057600 is 6750662467222.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 25661125260 + ... + 25661133940.

It is an arithmetic number, because the mean of its divisors is an integer number (1466992113750).

Almost surely, 2^{222764266057600} is an apocalyptic number.

222764266057600 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 222764266057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281662485840000).

222764266057600 is an abundant number, since it is smaller than the sum of its proper divisors (340560705622400).

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

222764266057600 is a wasteful number, since it uses less digits than its factorization.

222764266057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 55.

The spelling of 222764266057600 in words is "two hundred twenty-two trillion, seven hundred sixty-four billion, two hundred sixty-six million, fifty-seven thousand, six hundred".