967123164312 has 160 divisors (see below), whose sum is σ = 2740959421200. Its totient is φ = 318556440576.

The previous prime is 967123164229. The next prime is 967123164347. The reversal of 967123164312 is 213461321769.

967123164312 is a `hidden beast` number, since 9 + 6 + 7 + 12 + 316 + 4 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116897008 + ... + 116905280.

Almost surely, 2^967123164312 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 967123164312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370479710600).

967123164312 is an abundant number, since it is smaller than the sum of its proper divisors (1773836256888).

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

967123164312 is a wasteful number, since it uses less digits than its factorization.

967123164312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10407 (or 10394 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 967123164312 in words is "nine hundred sixty-seven billion, one hundred twenty-three million, one hundred sixty-four thousand, three hundred twelve".