11334795264 has 420 divisors, whose sum is σ = 37103646916. Its totient is φ = 3439853568.

The previous prime is 11334795247. The next prime is 11334795281. The reversal of 11334795264 is 46259743311.

11334795264 is a `hidden beast` number, since 113 + 3 + 4 + 7 + 9 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11334795247) and next prime (11334795281).

It can be written as a sum of positive squares in 2 ways, for example, as 3869835264 + 7464960000 = 62208^2 + 86400^2 .

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 155271132 + ... + 155271204.

Almost surely, 2^11334795264 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 11334795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18551823458).

11334795264 is an abundant number, since it is smaller than the sum of its proper divisors (25768851652).

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

11334795264 is an frugal number, since it uses more digits than its factorization.

11334795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 11334795264 in words is "eleven billion, three hundred thirty-four million, seven hundred ninety-five thousand, two hundred sixty-four".