9416102078214 has 384 divisors, whose sum is σ = 25292290383360. Its totient is φ = 2499566211072.

The previous prime is 9416102078179. The next prime is 9416102078221. The reversal of 9416102078214 is 4128702016149.

9416102078214 is a `hidden beast` number, since 9 + 4 + 1 + 610 + 2 + 0 + 7 + 8 + 21 + 4 = 666.

It is a super-4 number, since 4×9416102078214⁴ (a number of 53 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9416102078214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347739244 + ... + 347766320.

It is an arithmetic number, because the mean of its divisors is an integer number (65865339540).

Almost surely, 2^{9416102078214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9416102078214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646145191680).

9416102078214 is an abundant number, since it is smaller than the sum of its proper divisors (15876188305146).

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

9416102078214 is a wasteful number, since it uses less digits than its factorization.

9416102078214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27284 (or 27281 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 9416102078214 in words is "nine trillion, four hundred sixteen billion, one hundred two million, seventy-eight thousand, two hundred fourteen".