222522263964000 has 7680 divisors, whose sum is σ = 1156507211059200. Its totient is φ = 40410316800000.

The previous prime is 222522263963981. The next prime is 222522263964041. The reversal of 222522263964000 is 469362225222.

222522263964000 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 2 + 2 + 2 + 639 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 554918363800 + ... + 554918364200.

It is an arithmetic number, because the mean of its divisors is an integer number (150586876440).

Almost surely, 2^{222522263964000} is an apocalyptic number.

222522263964000 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 222522263964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578253605529600).

222522263964000 is an abundant number, since it is smaller than the sum of its proper divisors (933984947095200).

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

222522263964000 is a wasteful number, since it uses less digits than its factorization.

222522263964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 222522263964000 in words is "two hundred twenty-two trillion, five hundred twenty-two billion, two hundred sixty-three million, nine hundred sixty-four thousand".