11314147416 has 256 divisors, whose sum is σ = 34427635200. Its totient is φ = 3052339200.

The previous prime is 11314147391. The next prime is 11314147457. The reversal of 11314147416 is 61474141311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 17650456 + ... + 17651096.

It is an arithmetic number, because the mean of its divisors is an integer number (134482950).

Almost surely, 2^11314147416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314147416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213817600).

11314147416 is an abundant number, since it is smaller than the sum of its proper divisors (23113487784).

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

11314147416 is a wasteful number, since it uses less digits than its factorization.

11314147416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

Adding to 11314147416 its reverse (61474141311), we get a palindrome (72788288727).

The spelling of 11314147416 in words is "eleven billion, three hundred fourteen million, one hundred forty-seven thousand, four hundred sixteen".