966246457995 has 384 divisors, whose sum is σ = 2222857728000. Its totient is φ = 377102905344.

The previous prime is 966246457901. The next prime is 966246457999. The reversal of 966246457995 is 599754642669.

966246457995 is a `hidden beast` number, since 9 + 6 + 6 + 2 + 46 + 4 + 579 + 9 + 5 = 666.

966246457995 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 966246457995 - 2⁹ = 966246457483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (966246457999) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 623786481 + ... + 623788029.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692000).

Almost surely, 2^966246457995 is an apocalyptic number.

966246457995 is an abundant number, since it is smaller than the sum of its proper divisors (1256611270005).

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

966246457995 is a wasteful number, since it uses less digits than its factorization.

966246457995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1816 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

It can be divided in two parts, 966246 and 457995, that added together give a palindrome (1424241).

The spelling of 966246457995 in words is "nine hundred sixty-six billion, two hundred forty-six million, four hundred fifty-seven thousand, nine hundred ninety-five".