221430666264464 has 160 divisors (see below), whose sum is σ = 463934633425920. Its totient is φ = 102068400462336.

The previous prime is 221430666264461. The next prime is 221430666264481. The reversal of 221430666264464 is 464462666034122.

221430666264464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221430666264461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16135726307 + ... + 16135740029.

It is an arithmetic number, because the mean of its divisors is an integer number (2899591458912).

Almost surely, 2^{221430666264464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221430666264464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231967316712960).

221430666264464 is an abundant number, since it is smaller than the sum of its proper divisors (242503967161456).

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

221430666264464 is a wasteful number, since it uses less digits than its factorization.

221430666264464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16357 (or 16351 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 56.

The spelling of 221430666264464 in words is "two hundred twenty-one trillion, four hundred thirty billion, six hundred sixty-six million, two hundred sixty-four thousand, four hundred sixty-four".