966121123968 has 576 divisors, whose sum is σ = 3799428534720. Its totient is φ = 231635496960.

The previous prime is 966121123949. The next prime is 966121124027. The reversal of 966121123968 is 869321121669.

966121123968 is a `hidden beast` number, since 9 + 6 + 612 + 1 + 12 + 3 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 8012221 + ... + 8131907.

It is an arithmetic number, because the mean of its divisors is an integer number (6596230095).

Almost surely, 2^966121123968 is an apocalyptic number.

966121123968 is a gapful number since it is divisible by the number (98) 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 966121123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899714267360).

966121123968 is an abundant number, since it is smaller than the sum of its proper divisors (2833307410752).

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

966121123968 is a wasteful number, since it uses less digits than its factorization.

966121123968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119745 (or 119723 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 966121123968 in words is "nine hundred sixty-six billion, one hundred twenty-one million, one hundred twenty-three thousand, nine hundred sixty-eight".