264809819484 has 48 divisors (see below), whose sum is σ = 784621689600. Its totient is φ = 75659948208.

The previous prime is 264809819473. The next prime is 264809819489. The reversal of 264809819484 is 484918908462.

264809819484 is a `hidden beast` number, since 2 + 64 + 8 + 0 + 98 + 1 + 9 + 484 = 666.

264809819484 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264809819489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175138014 + ... + 175139525.

It is an arithmetic number, because the mean of its divisors is an integer number (16346285200).

Almost surely, 2^264809819484 is an apocalyptic number.

It is an amenable number.

264809819484 is an abundant number, since it is smaller than the sum of its proper divisors (519811870116).

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

264809819484 is a wasteful number, since it uses less digits than its factorization.

264809819484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350277559 (or 350277551 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 264809819484 in words is "two hundred sixty-four billion, eight hundred nine million, eight hundred nineteen thousand, four hundred eighty-four".