264117436126368 has 48 divisors (see below), whose sum is σ = 756336294364896. Its totient is φ = 80035586704640.

The previous prime is 264117436126343. The next prime is 264117436126393. The reversal of 264117436126368 is 863621634711462.

It is an interprime number because it is at equal distance from previous prime (264117436126343) and next prime (264117436126393).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125055603171 + ... + 125055605282.

It is an arithmetic number, because the mean of its divisors is an integer number (15757006132602).

Almost surely, 2^{264117436126368} is an apocalyptic number.

It is an amenable number.

264117436126368 is an abundant number, since it is smaller than the sum of its proper divisors (492218858238528).

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

264117436126368 is a wasteful number, since it uses less digits than its factorization.

264117436126368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250111208477 (or 250111208469 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 264117436126368 in words is "two hundred sixty-four trillion, one hundred seventeen billion, four hundred thirty-six million, one hundred twenty-six thousand, three hundred sixty-eight".