264448123200 has 252 divisors, whose sum is σ = 972323330940. Its totient is φ = 68087685120.

The previous prime is 264448123183. The next prime is 264448123207. The reversal of 264448123200 is 2321844462.

264448123200 is a `hidden beast` number, since 2 + 6 + 4 + 448 + 1 + 2 + 3 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12821485824 + 251626637376 = 113232^2 + 501624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264448123207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100972 + ... + 734228.

Almost surely, 2^264448123200 is an apocalyptic number.

264448123200 is a gapful number since it is divisible by the number (20) 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 264448123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486161665470).

264448123200 is an abundant number, since it is smaller than the sum of its proper divisors (707875207740).

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

264448123200 is a wasteful number, since it uses less digits than its factorization.

264448123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633314 (or 633296 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 264448123200 its reverse (2321844462), we get a palindrome (266769967662).

The spelling of 264448123200 in words is "two hundred sixty-four billion, four hundred forty-eight million, one hundred twenty-three thousand, two hundred".