111673587168 has 576 divisors, whose sum is σ = 389193154560. Its totient is φ = 30943503360.

The previous prime is 111673587167. The next prime is 111673587173. The reversal of 111673587168 is 861785376111.

111673587168 is a `hidden beast` number, since 1 + 1 + 167 + 358 + 71 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111673587167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172601821 + ... + 172602467.

It is an arithmetic number, because the mean of its divisors is an integer number (675682560).

Almost surely, 2^111673587168 is an apocalyptic number.

111673587168 is a gapful number since it is divisible by the number (18) 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 111673587168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194596577280).

111673587168 is an abundant number, since it is smaller than the sum of its proper divisors (277519567392).

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

111673587168 is a wasteful number, since it uses less digits than its factorization.

111673587168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 803 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 111673587168 in words is "one hundred eleven billion, six hundred seventy-three million, five hundred eighty-seven thousand, one hundred sixty-eight".