221430676006232 has 256 divisors, whose sum is σ = 534473817292800. Its totient is φ = 83509530554880.

The previous prime is 221430676006217. The next prime is 221430676006277. The reversal of 221430676006232 is 232600676034122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 1058293658 + ... + 1058502870.

It is an arithmetic number, because the mean of its divisors is an integer number (2087788348800).

Almost surely, 2^{221430676006232} is an apocalyptic number.

221430676006232 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 221430676006232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267236908646400).

221430676006232 is an abundant number, since it is smaller than the sum of its proper divisors (313043141286568).

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

221430676006232 is a wasteful number, since it uses less digits than its factorization.

221430676006232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209686 (or 209682 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 44.

The spelling of 221430676006232 in words is "two hundred twenty-one trillion, four hundred thirty billion, six hundred seventy-six million, six thousand, two hundred thirty-two".