111730052738304 has 2592 divisors, whose sum is σ = 447696075939840. Its totient is φ = 26013096345600.

The previous prime is 111730052738303. The next prime is 111730052738323. The reversal of 111730052738304 is 403837250037111.

111730052738304 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 300 + 5 + 2 + 7 + 38 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 111730052738304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111730052738303) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 155396456857 + ... + 155396457575.

It is an arithmetic number, because the mean of its divisors is an integer number (172722251520).

Almost surely, 2^{111730052738304} is an apocalyptic number.

111730052738304 is a gapful number since it is divisible by the number (14) 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 111730052738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223848037969920).

111730052738304 is an abundant number, since it is smaller than the sum of its proper divisors (335966023201536).

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

111730052738304 is a wasteful number, since it uses less digits than its factorization.

111730052738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 111730052738304 in words is "one hundred eleven trillion, seven hundred thirty billion, fifty-two million, seven hundred thirty-eight thousand, three hundred four".