11334681252 has 72 divisors (see below), whose sum is σ = 30380313600. Its totient is φ = 3550894848.

The previous prime is 11334681251. The next prime is 11334681289. The reversal of 11334681252 is 25218643311.

11334681252 is a `hidden beast` number, since 1 + 133 + 468 + 12 + 52 = 666.

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 (11334681251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427149 + ... + 452907.

It is an arithmetic number, because the mean of its divisors is an integer number (421948800).

Almost surely, 2^11334681252 is an apocalyptic number.

11334681252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334681252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190156800).

11334681252 is an abundant number, since it is smaller than the sum of its proper divisors (19045632348).

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

11334681252 is a wasteful number, since it uses less digits than its factorization.

11334681252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26505 (or 26500 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 11334681252 in words is "eleven billion, three hundred thirty-four million, six hundred eighty-one thousand, two hundred fifty-two".