264264246225 has 192 divisors, whose sum is σ = 572406220800. Its totient is φ = 117006094080.

The previous prime is 264264246217. The next prime is 264264246229. The reversal of 264264246225 is 522642462462.

264264246225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264264246225 - 2³ = 264264246217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (264264246229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39681946 + ... + 39688604.

It is an arithmetic number, because the mean of its divisors is an integer number (2981282400).

Almost surely, 2^264264246225 is an apocalyptic number.

264264246225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264264246225 is an abundant number, since it is smaller than the sum of its proper divisors (308141974575).

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

264264246225 is a wasteful number, since it uses less digits than its factorization.

264264246225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6938 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The spelling of 264264246225 in words is "two hundred sixty-four billion, two hundred sixty-four million, two hundred forty-six thousand, two hundred twenty-five".