1414716816216 has 384 divisors, whose sum is σ = 4311308332800. Its totient is φ = 382265917440.

The previous prime is 1414716816203. The next prime is 1414716816229. The reversal of 1414716816216 is 6126186174141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1414716816203) and next prime (1414716816229).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254031480 + ... + 254037048.

It is an arithmetic number, because the mean of its divisors is an integer number (11227365450).

Almost surely, 2^{1414716816216} 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 1414716816216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155654166400).

1414716816216 is an abundant number, since it is smaller than the sum of its proper divisors (2896591516584).

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

1414716816216 is a wasteful number, since it uses less digits than its factorization.

1414716816216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5732 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The spelling of 1414716816216 in words is "one trillion, four hundred fourteen billion, seven hundred sixteen million, eight hundred sixteen thousand, two hundred sixteen".