1966660686144 has 448 divisors, whose sum is σ = 7212073236480. Its totient is φ = 510550179840.

The previous prime is 1966660686139. The next prime is 1966660686157. The reversal of 1966660686144 is 4416860666691.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420853792 + ... + 420858464.

It is an arithmetic number, because the mean of its divisors is an integer number (16098377760).

Almost surely, 2^{1966660686144} is an apocalyptic number.

1966660686144 is a gapful number since it is divisible by the number (14) 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 1966660686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606036618240).

1966660686144 is an abundant number, since it is smaller than the sum of its proper divisors (5245412550336).

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

1966660686144 is a wasteful number, since it uses less digits than its factorization.

1966660686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 1966660686144 in words is "one trillion, nine hundred sixty-six billion, six hundred sixty million, six hundred eighty-six thousand, one hundred forty-four".