1966411315584 has 48 divisors (see below), whose sum is σ = 5658553398420. Its totient is φ = 655470438144.

The previous prime is 1966411315541. The next prime is 1966411315597. The reversal of 1966411315584 is 4855131146691.

1966411315584 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 41 + 1 + 3 + 15 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×1966411315584⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1966411315584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 853475982 + ... + 853478285.

Almost surely, 2^{1966411315584} is an apocalyptic number.

It is an amenable number.

1966411315584 is an abundant number, since it is smaller than the sum of its proper divisors (3692142082836).

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

1966411315584 is a wasteful number, since it uses less digits than its factorization.

1966411315584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706954287 (or 1706954272 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 1966411315584 in words is "one trillion, nine hundred sixty-six billion, four hundred eleven million, three hundred fifteen thousand, five hundred eighty-four".