966186144 has 480 divisors, whose sum is σ = 3653185536. Its totient is φ = 243233280.

The previous prime is 966186121. The next prime is 966186161. The reversal of 966186144 is 441681669.

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

It is a self number, because there is not a number n which added to its sum of digits gives 966186144.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9380397 + ... + 9380499.

Almost surely, 2^966186144 is an apocalyptic number.

966186144 is a gapful number since it is divisible by the number (94) 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 966186144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826592768).

966186144 is an abundant number, since it is smaller than the sum of its proper divisors (2686999392).

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

966186144 is a wasteful number, since it uses less digits than its factorization.

966186144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 966186144 is about 31083.5349341094. The cubic root of 966186144 is about 988.5992310827.

The spelling of 966186144 in words is "nine hundred sixty-six million, one hundred eighty-six thousand, one hundred forty-four".