11834515264 has 112 divisors (see below), whose sum is σ = 27876252096. Its totient is φ = 4913971200.

The previous prime is 11834515261. The next prime is 11834515327. The reversal of 11834515264 is 46251543811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11834515261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881079 + ... + 894409.

It is an arithmetic number, because the mean of its divisors is an integer number (248895108).

Almost surely, 2^11834515264 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 11834515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13938126048).

11834515264 is an abundant number, since it is smaller than the sum of its proper divisors (16041736832).

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

11834515264 is a wasteful number, since it uses less digits than its factorization.

11834515264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13464 (or 13454 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The spelling of 11834515264 in words is "eleven billion, eight hundred thirty-four million, five hundred fifteen thousand, two hundred sixty-four".