111328156800 has 432 divisors, whose sum is σ = 462106458450. Its totient is φ = 25446113280.

The previous prime is 111328156783. The next prime is 111328156813. The reversal of 111328156800 is 8651823111.

111328156800 is a `hidden beast` number, since 1 + 1 + 13 + 2 + 81 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43607462976 + 67720693824 = 208824^2 + 260232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1371756 + ... + 1450644.

Almost surely, 2^111328156800 is an apocalyptic number.

111328156800 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 111328156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231053229225).

111328156800 is an abundant number, since it is smaller than the sum of its proper divisors (350778301650).

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

111328156800 is a wasteful number, since it uses less digits than its factorization.

111328156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78933 (or 78906 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 111328156800 its reverse (8651823111), we get a palindrome (119979979911).

The spelling of 111328156800 in words is "one hundred eleven billion, three hundred twenty-eight million, one hundred fifty-six thousand, eight hundred".