111973478400 has 936 divisors, whose sum is σ = 485797594464. Its totient is φ = 24064819200.

The previous prime is 111973478381. The next prime is 111973478413. The reversal of 111973478400 is 4874379111.

111973478400 is a `hidden beast` number, since 11 + 197 + 3 + 47 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109669890 + ... + 109670910.

It is an arithmetic number, because the mean of its divisors is an integer number (519014524).

Almost surely, 2^111973478400 is an apocalyptic number.

111973478400 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 111973478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242898797232).

111973478400 is an abundant number, since it is smaller than the sum of its proper divisors (373824116064).

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

111973478400 is a wasteful number, since it uses less digits than its factorization.

111973478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 111973478400 in words is "one hundred eleven billion, nine hundred seventy-three million, four hundred seventy-eight thousand, four hundred".