11834517967038 has 48 divisors (see below), whose sum is σ = 28504645443456. Its totient is φ = 3523925943360.

The previous prime is 11834517967033. The next prime is 11834517967057. The reversal of 11834517967038 is 83076971543811.

11834517967038 is a `hidden beast` number, since 1 + 1 + 83 + 4 + 517 + 9 + 6 + 7 + 0 + 38 = 666.

11834517967038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11834517967033) 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, 815716345 + ... + 815730852.

It is an arithmetic number, because the mean of its divisors is an integer number (593846780072).

Almost surely, 2^{11834517967038} is an apocalyptic number.

11834517967038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11834517967038 is an abundant number, since it is smaller than the sum of its proper divisors (16670127476418).

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

11834517967038 is a wasteful number, since it uses less digits than its factorization.

11834517967038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631447249 (or 1631447246 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 11834517967038 in words is "eleven trillion, eight hundred thirty-four billion, five hundred seventeen million, nine hundred sixty-seven thousand, thirty-eight".