11894571989664 has 768 divisors, whose sum is σ = 41510278656000. Its totient is φ = 2958285238272.

The previous prime is 11894571989639. The next prime is 11894571989681. The reversal of 11894571989664 is 46698917549811.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 11894571989664.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533784667 + ... + 533806949.

It is an arithmetic number, because the mean of its divisors is an integer number (54049842000).

Almost surely, 2^{11894571989664} is an apocalyptic number.

11894571989664 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 11894571989664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755139328000).

11894571989664 is an abundant number, since it is smaller than the sum of its proper divisors (29615706666336).

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

11894571989664 is a wasteful number, since it uses less digits than its factorization.

11894571989664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22402 (or 22380 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 78.

The spelling of 11894571989664 in words is "eleven trillion, eight hundred ninety-four billion, five hundred seventy-one million, nine hundred eighty-nine thousand, six hundred sixty-four".