111198408768 has 112 divisors (see below), whose sum is σ = 327130989120. Its totient is φ = 37040256000.

The previous prime is 111198408757. The next prime is 111198408791. The reversal of 111198408768 is 867804891111.

It is a super-2 number, since 2×111198408768² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2537443 + ... + 2580893.

Almost surely, 2^111198408768 is an apocalyptic number.

111198408768 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 111198408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163565494560).

111198408768 is an abundant number, since it is smaller than the sum of its proper divisors (215932580352).

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

111198408768 is a wasteful number, since it uses less digits than its factorization.

111198408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44953 (or 44937 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 111198408768 in words is "one hundred eleven billion, one hundred ninety-eight million, four hundred eight thousand, seven hundred sixty-eight".