11894876533344 has 384 divisors, whose sum is σ = 38730919772160. Its totient is φ = 3121878988800.

The previous prime is 11894876533343. The next prime is 11894876533357. The reversal of 11894876533344 is 44333567849811.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11894876533343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62672062 + ... + 62861570.

It is an arithmetic number, because the mean of its divisors is an integer number (100861770240).

Almost surely, 2^{11894876533344} is an apocalyptic number.

11894876533344 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 11894876533344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19365459886080).

11894876533344 is an abundant number, since it is smaller than the sum of its proper divisors (26836043238816).

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

11894876533344 is a wasteful number, since it uses less digits than its factorization.

11894876533344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189714 (or 189706 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 66.

The spelling of 11894876533344 in words is "eleven trillion, eight hundred ninety-four billion, eight hundred seventy-six million, five hundred thirty-three thousand, three hundred forty-four".