264627617823 has 48 divisors (see below), whose sum is σ = 409783196160. Its totient is φ = 164129499072.

The previous prime is 264627617797. The next prime is 264627617831. The reversal of 264627617823 is 328716726462.

264627617823 is a `hidden beast` number, since 2 + 6 + 4 + 627 + 6 + 1 + 7 + 8 + 2 + 3 = 666.

It is not a de Polignac number, because 264627617823 - 2⁶ = 264627617759 is a prime.

It is a super-2 number, since 2×264627617823² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264627617823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264627617873) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 34637838 + ... + 34645476.

It is an arithmetic number, because the mean of its divisors is an integer number (8537149920).

Almost surely, 2^264627617823 is an apocalyptic number.

264627617823 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

264627617823 is a deficient number, since it is larger than the sum of its proper divisors (145155578337).

264627617823 is a wasteful number, since it uses less digits than its factorization.

264627617823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228 (or 12225 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 264627617823 in words is "two hundred sixty-four billion, six hundred twenty-seven million, six hundred seventeen thousand, eight hundred twenty-three".