966408533712 has 100 divisors (see below), whose sum is σ = 2856578911296. Its totient is φ = 315282196800.

The previous prime is 966408533707. The next prime is 966408533723. The reversal of 966408533712 is 217335804669.

966408533712 is a `hidden beast` number, since 9 + 66 + 40 + 8 + 533 + 7 + 1 + 2 = 666.

966408533712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×966408533712⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7871914 + ... + 7993737.

It is a 1-persistent number, because it is pandigital, but 2⋅966408533712 = 1932817067424 is not.

Almost surely, 2^966408533712 is an apocalyptic number.

It is an amenable number.

966408533712 is an abundant number, since it is smaller than the sum of its proper divisors (1890170377584).

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

966408533712 is a wasteful number, since it uses less digits than its factorization.

966408533712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15865718 (or 15865703 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 966408533712 in words is "nine hundred sixty-six billion, four hundred eight million, five hundred thirty-three thousand, seven hundred twelve".