264849063552 has 256 divisors, whose sum is σ = 789051110400. Its totient is φ = 87454080000.

The previous prime is 264849063539. The next prime is 264849063569. The reversal of 264849063552 is 255360948462.

264849063552 is a `hidden beast` number, since 2 + 6 + 4 + 84 + 9 + 0 + 6 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183032493 + ... + 183033939.

It is an arithmetic number, because the mean of its divisors is an integer number (3082230900).

Almost surely, 2^264849063552 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 264849063552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394525555200).

264849063552 is an abundant number, since it is smaller than the sum of its proper divisors (524202046848).

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

264849063552 is a wasteful number, since it uses less digits than its factorization.

264849063552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 264849063552 in words is "two hundred sixty-four billion, eight hundred forty-nine million, sixty-three thousand, five hundred fifty-two".