111998194560 has 1536 divisors, whose sum is σ = 494292326400. Its totient is φ = 24141680640.

The previous prime is 111998194543. The next prime is 111998194577. The reversal of 111998194560 is 65491899111.

It is an interprime number because it is at equal distance from previous prime (111998194543) and next prime (111998194577).

It is a super-2 number, since 2×111998194560² (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 a junction number, because it is equal to n+sod(n) for n = 111998194497 and 111998194506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1577439325 + ... + 1577439395.

It is an arithmetic number, because the mean of its divisors is an integer number (321804900).

Almost surely, 2^111998194560 is an apocalyptic number.

111998194560 is a gapful number since it is divisible by the number (10) 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 111998194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247146163200).

111998194560 is an abundant number, since it is smaller than the sum of its proper divisors (382294131840).

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

111998194560 is an frugal number, since it uses more digits than its factorization.

111998194560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 54.

The spelling of 111998194560 in words is "one hundred eleven billion, nine hundred ninety-eight million, one hundred ninety-four thousand, five hundred sixty".