264229171383168 has 256 divisors, whose sum is σ = 825747605928000. Its totient is φ = 82892269486080.

The previous prime is 264229171383161. The next prime is 264229171383173. The reversal of 264229171383168 is 861383171922462.

It is a happy number.

264229171383168 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 2 + 91 + 7 + 1 + 383 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264229171383161) 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, 1902379068 + ... + 1902517956.

Almost surely, 2^{264229171383168} 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 264229171383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412873802964000).

264229171383168 is an abundant number, since it is smaller than the sum of its proper divisors (561518434544832).

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

264229171383168 is a wasteful number, since it uses less digits than its factorization.

264229171383168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171310 (or 171292 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 264229171383168 in words is "two hundred sixty-four trillion, two hundred twenty-nine billion, one hundred seventy-one million, three hundred eighty-three thousand, one hundred sixty-eight".