111749706432 has 448 divisors, whose sum is σ = 415286179840. Its totient is φ = 28674404352.

The previous prime is 111749706407. The next prime is 111749706491. The reversal of 111749706432 is 234607947111.

It is a happy number.

111749706432 is a `hidden beast` number, since 1 + 117 + 497 + 0 + 6 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5808573 + ... + 5827779.

It is an arithmetic number, because the mean of its divisors is an integer number (926978080).

Almost surely, 2^111749706432 is an apocalyptic number.

111749706432 is a gapful number since it is divisible by the number (12) 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 111749706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207643089920).

111749706432 is an abundant number, since it is smaller than the sum of its proper divisors (303536473408).

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

111749706432 is a wasteful number, since it uses less digits than its factorization.

111749706432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19285 (or 19269 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 111749706432 in words is "one hundred eleven billion, seven hundred forty-nine million, seven hundred six thousand, four hundred thirty-two".