1966090644864 has 128 divisors (see below), whose sum is σ = 5859036019200. Its totient is φ = 649000677888.

The previous prime is 1966090644863. The next prime is 1966090644929. The reversal of 1966090644864 is 4684460906691.

1966090644864 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 0 + 90 + 64 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966090644863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2405644 + ... + 3117579.

It is an arithmetic number, because the mean of its divisors is an integer number (45773718900).

Almost surely, 2^{1966090644864} is an apocalyptic number.

It is an amenable number.

1966090644864 is an abundant number, since it is smaller than the sum of its proper divisors (3892945374336).

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

1966090644864 is a wasteful number, since it uses less digits than its factorization.

1966090644864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523349 (or 5523331 counting only the distinct ones).

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

The spelling of 1966090644864 in words is "one trillion, nine hundred sixty-six billion, ninety million, six hundred forty-four thousand, eight hundred sixty-four".