264353054112 has 360 divisors, whose sum is σ = 908369578116. Its totient is φ = 75196864512.

The previous prime is 264353054111. The next prime is 264353054123. The reversal of 264353054112 is 211450353462.

264353054112 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 530 + 5 + 4 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 243210730896 + 21142323216 = 493164^2 + 145404^2 .

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

It is not an unprimeable number, because it can be changed into a prime (264353054111) 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, 29588398 + ... + 29597330.

Almost surely, 2^264353054112 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 264353054112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454184789058).

264353054112 is an abundant number, since it is smaller than the sum of its proper divisors (644016524004).

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

264353054112 is a wasteful number, since it uses less digits than its factorization.

264353054112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 9178 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 264353054112 in words is "two hundred sixty-four billion, three hundred fifty-three million, fifty-four thousand, one hundred twelve".