111363553728 has 280 divisors, whose sum is σ = 377761674752. Its totient is φ = 31777214976.

The previous prime is 111363553667. The next prime is 111363553757. The reversal of 111363553728 is 827355363111.

111363553728 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 635 + 5 + 3 + 7 + 2 + 8 = 666.

It is a super-3 number, since 3×111363553728³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38572701 + ... + 38575587.

Almost surely, 2^111363553728 is an apocalyptic number.

111363553728 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 111363553728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188880837376).

111363553728 is an abundant number, since it is smaller than the sum of its proper divisors (266398121024).

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

111363553728 is a wasteful number, since it uses less digits than its factorization.

111363553728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3962 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 111363553728 in words is "one hundred eleven billion, three hundred sixty-three million, five hundred fifty-three thousand, seven hundred twenty-eight".