264048722904384 has 112 divisors (see below), whose sum is σ = 846822924527040. Its totient is φ = 80014764510720.

The previous prime is 264048722904383. The next prime is 264048722904437. The reversal of 264048722904384 is 483409227840462.

It is a happy number.

264048722904384 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 48 + 72 + 2 + 90 + 438 + 4 = 666.

It is a super-4 number, since 4×264048722904384⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264048722904383) 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 15 ways as a sum of consecutive naturals, for example, 6945707079 + ... + 6945745094.

Almost surely, 2^{264048722904384} is an apocalyptic number.

264048722904384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264048722904384 is an abundant number, since it is smaller than the sum of its proper divisors (582774201622656).

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

264048722904384 is a wasteful number, since it uses less digits than its factorization.

264048722904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13891452205 (or 13891452189 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 264048722904384 in words is "two hundred sixty-four trillion, forty-eight billion, seven hundred twenty-two million, nine hundred four thousand, three hundred eighty-four".