222126329147904 has 640 divisors, whose sum is σ = 685299383746560. Its totient is φ = 70962374246400.

The previous prime is 222126329147851. The next prime is 222126329147917. The reversal of 222126329147904 is 409741923621222.

It is a happy number.

222126329147904 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 263 + 291 + 4 + 7 + 90 + 4 = 666.

It is a super-2 number, since 2×222126329147904² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18774935269 + ... + 18774947099.

It is an arithmetic number, because the mean of its divisors is an integer number (1070780287104).

Almost surely, 2^{222126329147904} is an apocalyptic number.

222126329147904 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 222126329147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342649691873280).

222126329147904 is an abundant number, since it is smaller than the sum of its proper divisors (463173054598656).

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

222126329147904 is a wasteful number, since it uses less digits than its factorization.

222126329147904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 222126329147904 in words is "two hundred twenty-two trillion, one hundred twenty-six billion, three hundred twenty-nine million, one hundred forty-seven thousand, nine hundred four".