264241922112 has 420 divisors, whose sum is σ = 918467641344. Its totient is φ = 74894077440.

The previous prime is 264241922099. The next prime is 264241922117. The reversal of 264241922112 is 211229142462.

264241922112 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 419 + 221 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (264241922117) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32255937 + ... + 32264127.

Almost surely, 2^264241922112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264241922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459233820672).

264241922112 is an abundant number, since it is smaller than the sum of its proper divisors (654225719232).

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

264241922112 is a wasteful number, since it uses less digits than its factorization.

264241922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8356 (or 8330 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 264241922112 in words is "two hundred sixty-four billion, two hundred forty-one million, nine hundred twenty-two thousand, one hundred twelve".