264222945456 has 160 divisors (see below), whose sum is σ = 722572609536. Its totient is φ = 83099520000.

The previous prime is 264222945443. The next prime is 264222945487. The reversal of 264222945456 is 654549222462.

It is a junction number, because it is equal to n+sod(n) for n = 264222945399 and 264222945408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7674681 + ... + 7709031.

Almost surely, 2^264222945456 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 264222945456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361286304768).

264222945456 is an abundant number, since it is smaller than the sum of its proper divisors (458349664080).

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

264222945456 is a wasteful number, since it uses less digits than its factorization.

264222945456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34531 (or 34525 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The spelling of 264222945456 in words is "two hundred sixty-four billion, two hundred twenty-two million, nine hundred forty-five thousand, four hundred fifty-six".