11834079264 has 240 divisors, whose sum is σ = 39956716800. Its totient is φ = 3365784576.

The previous prime is 11834079233. The next prime is 11834079269. The reversal of 11834079264 is 46297043811.

11834079264 is a `hidden beast` number, since 1 + 183 + 407 + 9 + 2 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (11834079269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4335052 + ... + 4337780.

It is an arithmetic number, because the mean of its divisors is an integer number (166486320).

Almost surely, 2^11834079264 is an apocalyptic number.

11834079264 is a gapful number since it is divisible by the number (14) 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 11834079264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978358400).

11834079264 is an abundant number, since it is smaller than the sum of its proper divisors (28122637536).

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

11834079264 is a wasteful number, since it uses less digits than its factorization.

11834079264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11834079264 in words is "eleven billion, eight hundred thirty-four million, seventy-nine thousand, two hundred sixty-four".