11933963988144 has 160 divisors (see below), whose sum is σ = 34187468290560. Its totient is φ = 3556647628800.

The previous prime is 11933963988137. The next prime is 11933963988187. The reversal of 11933963988144 is 44188936933911.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368668792 + ... + 368701160.

It is an arithmetic number, because the mean of its divisors is an integer number (213671676816).

Almost surely, 2^{11933963988144} 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 11933963988144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093734145280).

11933963988144 is an abundant number, since it is smaller than the sum of its proper divisors (22253504302416).

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

11933963988144 is a wasteful number, since it uses less digits than its factorization.

11933963988144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43899 (or 43893 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 69.

The spelling of 11933963988144 in words is "eleven trillion, nine hundred thirty-three billion, nine hundred sixty-three million, nine hundred eighty-eight thousand, one hundred forty-four".