111667867171392 has 224 divisors, whose sum is σ = 339444624640000. Its totient is φ = 31736733990912.

The previous prime is 111667867171387. The next prime is 111667867171397. The reversal of 111667867171392 is 293171768766111.

It is an interprime number because it is at equal distance from previous prime (111667867171387) and next prime (111667867171397).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×111667867171392² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111667867171397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5343205359 + ... + 5343226257.

Almost surely, 2^{111667867171392} is an apocalyptic number.

111667867171392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111667867171392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169722312320000).

111667867171392 is an abundant number, since it is smaller than the sum of its proper divisors (227776757468608).

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

111667867171392 is a wasteful number, since it uses less digits than its factorization.

111667867171392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41713 (or 41703 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 66.

The spelling of 111667867171392 in words is "one hundred eleven trillion, six hundred sixty-seven billion, eight hundred sixty-seven million, one hundred seventy-one thousand, three hundred ninety-two".