966616000351 has 8 divisors (see below), whose sum is σ = 999963849600. Its totient is φ = 933269235360.

The previous prime is 966616000307. The next prime is 966616000397. The reversal of 966616000351 is 153000616669.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 966616000351 - 2³⁷ = 829177046879 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 966616000298 and 966616000307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966616000151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1814866 + ... + 2286256.

It is an arithmetic number, because the mean of its divisors is an integer number (124995481200).

Almost surely, 2^966616000351 is an apocalyptic number.

966616000351 is the 525525-th centered heptagonal number.

966616000351 is a deficient number, since it is larger than the sum of its proper divisors (33347849249).

966616000351 is a wasteful number, since it uses less digits than its factorization.

966616000351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542129.

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 966616000351 in words is "nine hundred sixty-six billion, six hundred sixteen million, three hundred fifty-one", and thus it is an aban number.