866958465364992 has 4752 divisors, whose sum is σ = 3786412283559360. Its totient is φ = 195561408430080.

The previous prime is 866958465364967. The next prime is 866958465365029. The reversal of 866958465364992 is 299463564859668.

866958465364992 is a `hidden beast` number, since 8 + 6 + 6 + 9 + 5 + 84 + 6 + 5 + 36 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 326046807759 + ... + 326046810417.

Almost surely, 2^{866958465364992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866958465364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893206141779680).

866958465364992 is an abundant number, since it is smaller than the sum of its proper divisors (2919453818194368).

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

866958465364992 is a wasteful number, since it uses less digits than its factorization.

866958465364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2712 counting only the distinct ones).

The product of its digits is 145118822400, while the sum is 90.

The spelling of 866958465364992 in words is "eight hundred sixty-six trillion, nine hundred fifty-eight billion, four hundred sixty-five million, three hundred sixty-four thousand, nine hundred ninety-two".