111788164454400 has 1152 divisors, whose sum is σ = 470550707827200. Its totient is φ = 25482254745600.

The previous prime is 111788164454299. The next prime is 111788164454401. The reversal of 111788164454400 is 4454461887111.

111788164454400 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 88 + 16 + 4 + 4 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111788164454401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3609430915 + ... + 3609461885.

It is an arithmetic number, because the mean of its divisors is an integer number (408464156100).

Almost surely, 2^{111788164454400} is an apocalyptic number.

111788164454400 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 111788164454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235275353913600).

111788164454400 is an abundant number, since it is smaller than the sum of its proper divisors (358762543372800).

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

111788164454400 is a wasteful number, since it uses less digits than its factorization.

111788164454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31392 (or 31361 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 111788164454400 in words is "one hundred eleven trillion, seven hundred eighty-eight billion, one hundred sixty-four million, four hundred fifty-four thousand, four hundred".