1314100450416 has 160 divisors (see below), whose sum is σ = 3821055436800. Its totient is φ = 386129221632.

The previous prime is 1314100450373. The next prime is 1314100450417. The reversal of 1314100450416 is 6140540014131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314100450417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8780985 + ... + 8929383.

It is an arithmetic number, because the mean of its divisors is an integer number (23881596480).

Almost surely, 2^{1314100450416} is an apocalyptic number.

1314100450416 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 1314100450416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910527718400).

1314100450416 is an abundant number, since it is smaller than the sum of its proper divisors (2506954986384).

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

1314100450416 is a wasteful number, since it uses less digits than its factorization.

1314100450416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149063 (or 149057 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1314100450416 its reverse (6140540014131), we get a palindrome (7454640464547).

The spelling of 1314100450416 in words is "one trillion, three hundred fourteen billion, one hundred million, four hundred fifty thousand, four hundred sixteen".