264083848512 has 112 divisors (see below), whose sum is σ = 762727886784. Its totient is φ = 79974400000.

The previous prime is 264083848361. The next prime is 264083848573. The reversal of 264083848512 is 215848380462.

It is a super-2 number, since 2×264083848512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3342262 + ... + 3420362.

Almost surely, 2^264083848512 is an apocalyptic number.

264083848512 is a gapful number since it is divisible by the number (22) 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 264083848512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381363943392).

264083848512 is an abundant number, since it is smaller than the sum of its proper divisors (498644038272).

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

264083848512 is a wasteful number, since it uses less digits than its factorization.

264083848512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79728 (or 79718 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 264083848512 in words is "two hundred sixty-four billion, eighty-three million, eight hundred forty-eight thousand, five hundred twelve".