966114112095 has 48 divisors (see below), whose sum is σ = 1827151346592. Its totient is φ = 468337582080.

The previous prime is 966114112087. The next prime is 966114112111. The reversal of 966114112095 is 590211411669.

966114112095 is a `hidden beast` number, since 9 + 6 + 611 + 4 + 1 + 1 + 20 + 9 + 5 = 666.

It is not a de Polignac number, because 966114112095 - 2³ = 966114112087 is a prime.

It is a super-2 number, since 2×966114112095² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 966114112095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2732599 + ... + 3065831.

It is an arithmetic number, because the mean of its divisors is an integer number (38065653054).

Almost surely, 2^966114112095 is an apocalyptic number.

966114112095 is a deficient number, since it is larger than the sum of its proper divisors (861037234497).

966114112095 is a wasteful number, since it uses less digits than its factorization.

966114112095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339112 (or 339109 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 966114112095 in words is "nine hundred sixty-six billion, one hundred fourteen million, one hundred twelve thousand, ninety-five".