222129936297984 has 1664 divisors, whose sum is σ = 736470672408576. Its totient is φ = 59114697523200.

The previous prime is 222129936297961. The next prime is 222129936297989. The reversal of 222129936297984 is 489792639921222.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222129936297989) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 441610211077 + ... + 441610211579.

Almost surely, 2^{222129936297984} is an apocalyptic number.

222129936297984 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 222129936297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368235336204288).

222129936297984 is an abundant number, since it is smaller than the sum of its proper divisors (514340736110592).

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

222129936297984 is a wasteful number, since it uses less digits than its factorization.

222129936297984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 630 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 75.

The spelling of 222129936297984 in words is "two hundred twenty-two trillion, one hundred twenty-nine billion, nine hundred thirty-six million, two hundred ninety-seven thousand, nine hundred eighty-four".