114404416 has 63 divisors (see below), whose sum is σ = 265475847. Its totient is φ = 48773760.

The previous prime is 114404383. The next prime is 114404429. The reversal of 114404416 is 614404411.

It is a happy number.

The square root of 114404416 is 10696.

It is a perfect power (a square), and thus also a powerful number.

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 8 ways as a sum of consecutive naturals, for example, 598881 + ... + 599071.

Almost surely, 2^114404416 is an apocalyptic number.

114404416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114404416 is the 10696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114404416

114404416 is an abundant number, since it is smaller than the sum of its proper divisors (151071431).

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

114404416 is an frugal number, since it uses more digits than its factorization.

114404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The cubic root of 114404416 is about 485.4534548168.

Multiplying 114404416 by its sum of digits (25), we get a square (2860110400 = 53480²).

Adding to 114404416 its reverse (614404411), we get a palindrome (728808827).

The spelling of 114404416 in words is "one hundred fourteen million, four hundred four thousand, four hundred sixteen".