222557215940064 has 384 divisors, whose sum is σ = 707114163571200. Its totient is φ = 67859711262720.

The previous prime is 222557215940051. The next prime is 222557215940141. The reversal of 222557215940064 is 460049512755222.

222557215940064 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 572 + 1 + 5 + 9 + 4 + 0 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 78169824 + ... + 80966880.

It is an arithmetic number, because the mean of its divisors is an integer number (1841443134300).

Almost surely, 2^{222557215940064} is an apocalyptic number.

222557215940064 is a gapful number since it is divisible by the number (24) 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 222557215940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353557081785600).

222557215940064 is an abundant number, since it is smaller than the sum of its proper divisors (484556947631136).

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

222557215940064 is a wasteful number, since it uses less digits than its factorization.

222557215940064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797263 (or 2797249 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 222557215940064 in words is "two hundred twenty-two trillion, five hundred fifty-seven billion, two hundred fifteen million, nine hundred forty thousand, sixty-four".