1966105045152 has 336 divisors, whose sum is σ = 6072936323328. Its totient is φ = 625522590720.

The previous prime is 1966105045111. The next prime is 1966105045181. The reversal of 1966105045152 is 2515405016691.

1966105045152 is a `hidden beast` number, since 1 + 96 + 6 + 1 + 0 + 504 + 5 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1966105045098 and 1966105045107.

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 55 ways as a sum of consecutive naturals, for example, 52772643 + ... + 52809885.

It is an arithmetic number, because the mean of its divisors is an integer number (18074215248).

Almost surely, 2^{1966105045152} is an apocalyptic number.

1966105045152 is a gapful number since it is divisible by the number (12) 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 1966105045152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036468161664).

1966105045152 is an abundant number, since it is smaller than the sum of its proper divisors (4106831278176).

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

1966105045152 is an equidigital number, since it uses as much as digits as its factorization.

1966105045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37375 (or 37352 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1966105045152 in words is "one trillion, nine hundred sixty-six billion, one hundred five million, forty-five thousand, one hundred fifty-two".