966633119136 has 288 divisors, whose sum is σ = 2841495038928. Its totient is φ = 311577477120.

The previous prime is 966633119119. The next prime is 966633119141. The reversal of 966633119136 is 631911336669.

966633119136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 855211536 + 965777907600 = 29244^2 + 982740^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267541266 + ... + 267544878.

Almost surely, 2^966633119136 is an apocalyptic number.

966633119136 is a gapful number since it is divisible by the number (96) 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 966633119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420747519464).

966633119136 is an abundant number, since it is smaller than the sum of its proper divisors (1874861919792).

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

966633119136 is a wasteful number, since it uses less digits than its factorization.

966633119136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3933 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The spelling of 966633119136 in words is "nine hundred sixty-six billion, six hundred thirty-three million, one hundred nineteen thousand, one hundred thirty-six".