1167632311968 has 120 divisors (see below), whose sum is σ = 3434375523348. Its totient is φ = 389165285376.

The previous prime is 1167632311939. The next prime is 1167632311969. The reversal of 1167632311968 is 8691132367611.

1167632311968 is a `hidden beast` number, since 1 + 167 + 63 + 231 + 196 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 891868694544 + 275763617424 = 944388^2 + 525132^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1167632311969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27850830 + ... + 27892722.

Almost surely, 2^{1167632311968} is an apocalyptic number.

1167632311968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1167632311968 is an abundant number, since it is smaller than the sum of its proper divisors (2266743211380).

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

1167632311968 is a wasteful number, since it uses less digits than its factorization.

1167632311968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52668 (or 52651 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 1167632311968 in words is "one trillion, one hundred sixty-seven billion, six hundred thirty-two million, three hundred eleven thousand, nine hundred sixty-eight".