11314214030016 has 168 divisors, whose sum is σ = 33352804062864. Its totient is φ = 3664997038080.

The previous prime is 11314214029961. The next prime is 11314214030083. The reversal of 11314214030016 is 61003041241311.

11314214030016 is a `hidden beast` number, since 1 + 1 + 314 + 2 + 1 + 40 + 300 + 1 + 6 = 666.

It is a super-2 number, since 2×11314214030016² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3719886 + ... + 6038706.

Almost surely, 2^{11314214030016} is an apocalyptic number.

11314214030016 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 11314214030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676402031432).

11314214030016 is an abundant number, since it is smaller than the sum of its proper divisors (22038590032848).

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

11314214030016 is a wasteful number, since it uses less digits than its factorization.

11314214030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319079 (or 2319066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11314214030016 its reverse (61003041241311), we get a palindrome (72317255271327).

The spelling of 11314214030016 in words is "eleven trillion, three hundred fourteen billion, two hundred fourteen million, thirty thousand, sixteen".