1966948285824 has 512 divisors, whose sum is σ = 6371442892800. Its totient is φ = 595421798400.

The previous prime is 1966948285777. The next prime is 1966948285837. The reversal of 1966948285824 is 4285828496691.

1966948285824 is a `hidden beast` number, since 1 + 9 + 6 + 69 + 482 + 8 + 5 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130591254 + ... + 130606314.

It is an arithmetic number, because the mean of its divisors is an integer number (12444224400).

Almost surely, 2^{1966948285824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966948285824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185721446400).

1966948285824 is an abundant number, since it is smaller than the sum of its proper divisors (4404494606976).

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

1966948285824 is a wasteful number, since it uses less digits than its factorization.

1966948285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15191 (or 15173 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 1966948285824 in words is "one trillion, nine hundred sixty-six billion, nine hundred forty-eight million, two hundred eighty-five thousand, eight hundred twenty-four".