222040294261632 has 4608 divisors, whose sum is σ = 947883899289600. Its totient is φ = 48966156288000.

The previous prime is 222040294261619. The next prime is 222040294261829. The reversal of 222040294261632 is 236162492040222.

It is a happy number.

222040294261632 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 4 + 0 + 2 + 9 + 4 + 2 + 6 + 1 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 441431996293 + ... + 441431996795.

It is an arithmetic number, because the mean of its divisors is an integer number (205703971200).

Almost surely, 2^{222040294261632} is an apocalyptic number.

222040294261632 is a gapful number since it is divisible by the number (22) 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 222040294261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473941949644800).

222040294261632 is an abundant number, since it is smaller than the sum of its proper divisors (725843605027968).

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

222040294261632 is a wasteful number, since it uses less digits than its factorization.

222040294261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 222040294261632 in words is "two hundred twenty-two trillion, forty billion, two hundred ninety-four million, two hundred sixty-one thousand, six hundred thirty-two".