264311662656 has 224 divisors, whose sum is σ = 729563184000. Its totient is φ = 84349698048.

The previous prime is 264311662621. The next prime is 264311662661. The reversal of 264311662656 is 656266113462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 630815215 + ... + 630815633.

It is an arithmetic number, because the mean of its divisors is an integer number (3256978500).

Almost surely, 2^264311662656 is an apocalyptic number.

It is a pronic number, being equal to 514112×514113.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264311662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364781592000).

264311662656 is an abundant number, since it is smaller than the sum of its proper divisors (465251521344).

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

264311662656 is a wasteful number, since it uses less digits than its factorization.

264311662656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1139 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 264311662656 in words is "two hundred sixty-four billion, three hundred eleven million, six hundred sixty-two thousand, six hundred fifty-six".