966143845800 has 1344 divisors, whose sum is σ = 3981388032000. Its totient is φ = 213395212800.

The previous prime is 966143845787. The next prime is 966143845847. The reversal of 966143845800 is 8548341669.

966143845800 is a `hidden beast` number, since 96 + 6 + 1 + 438 + 45 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4854994101 + ... + 4854994299.

Almost surely, 2^966143845800 is an apocalyptic number.

966143845800 is a gapful number since it is divisible by the number (90) 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 966143845800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990694016000).

966143845800 is an abundant number, since it is smaller than the sum of its proper divisors (3015244186200).

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

966143845800 is a wasteful number, since it uses less digits than its factorization.

966143845800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 966143845800 in words is "nine hundred sixty-six billion, one hundred forty-three million, eight hundred forty-five thousand, eight hundred".