11687864034 has 128 divisors (see below), whose sum is σ = 29620961280. Its totient is φ = 2986401600.

The previous prime is 11687864017. The next prime is 11687864051. The reversal of 11687864034 is 43046878611.

11687864034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11687864017) and next prime (11687864051).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15730267 + ... + 15731009.

It is an arithmetic number, because the mean of its divisors is an integer number (231413760).

Almost surely, 2^11687864034 is an apocalyptic number.

11687864034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11687864034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810480640).

11687864034 is an abundant number, since it is smaller than the sum of its proper divisors (17933097246).

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

11687864034 is a wasteful number, since it uses less digits than its factorization.

11687864034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276.

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 11687864034 in words is "eleven billion, six hundred eighty-seven million, eight hundred sixty-four thousand, thirty-four".