7814117398416 has 160 divisors (see below), whose sum is σ = 23352215362560. Its totient is φ = 2205327386112.

The previous prime is 7814117398397. The next prime is 7814117398453. The reversal of 7814117398416 is 6148937114187.

It is a super-4 number, since 4×7814117398416⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7814117398416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189032086 + ... + 189073418.

It is an arithmetic number, because the mean of its divisors is an integer number (145951346016).

Almost surely, 2^{7814117398416} 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 7814117398416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676107681280).

7814117398416 is an abundant number, since it is smaller than the sum of its proper divisors (15538097964144).

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

7814117398416 is a wasteful number, since it uses less digits than its factorization.

7814117398416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48213 (or 48207 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 60.

The spelling of 7814117398416 in words is "seven trillion, eight hundred fourteen billion, one hundred seventeen million, three hundred ninety-eight thousand, four hundred sixteen".