966616000352 has 96 divisors (see below), whose sum is σ = 1995176945664. Its totient is φ = 460107648000.

The previous prime is 966616000307. The next prime is 966616000397. The reversal of 966616000352 is 253000616669.

It is an interprime number because it is at equal distance from previous prime (966616000307) and next prime (966616000397).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217361393 + ... + 217365839.

It is an arithmetic number, because the mean of its divisors is an integer number (20783093184).

Almost surely, 2^966616000352 is an apocalyptic number.

966616000352 is a gapful number since it is divisible by the number (92) 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 966616000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997588472832).

966616000352 is an abundant number, since it is smaller than the sum of its proper divisors (1028560945312).

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

966616000352 is a wasteful number, since it uses less digits than its factorization.

966616000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 966616000352 in words is "nine hundred sixty-six billion, six hundred sixteen million, three hundred fifty-two", and thus it is an aban number.