113440416 has 96 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 35675904.

The previous prime is 113440391. The next prime is 113440423. The reversal of 113440416 is 614044311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182955 + ... + 183573.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^113440416 is an apocalyptic number.

113440416 is a gapful number since it is divisible by the number (16) 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 113440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

113440416 is an abundant number, since it is smaller than the sum of its proper divisors (201539424).

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

113440416 is a wasteful number, since it uses less digits than its factorization.

113440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 113440416 is about 10650.8410935475. The cubic root of 113440416 is about 484.0860899157.

Adding to 113440416 its reverse (614044311), we get a palindrome (727484727).

The spelling of 113440416 in words is "one hundred thirteen million, four hundred forty thousand, four hundred sixteen".