1416237318216 has 384 divisors, whose sum is σ = 4588219883520. Its totient is φ = 400895599104.

The previous prime is 1416237318193. The next prime is 1416237318233. The reversal of 1416237318216 is 6128137326141.

1416237318216 is a `hidden beast` number, since 1 + 4 + 1 + 62 + 373 + 1 + 8 + 216 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 707057071 + ... + 707059073.

It is an arithmetic number, because the mean of its divisors is an integer number (11948489280).

Almost surely, 2^{1416237318216} 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 1416237318216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294109941760).

1416237318216 is an abundant number, since it is smaller than the sum of its proper divisors (3171982565304).

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

1416237318216 is a wasteful number, since it uses less digits than its factorization.

1416237318216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2471 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

It can be divided in two parts, 1416237 and 318216, that added together give a triangular number (1734453 = T₁₈₆₂).

The spelling of 1416237318216 in words is "one trillion, four hundred sixteen billion, two hundred thirty-seven million, three hundred eighteen thousand, two hundred sixteen".