8406365814 has 336 divisors, whose sum is σ = 25299190080. Its totient is φ = 2064877920.

The previous prime is 8406365801. The next prime is 8406365827. The reversal of 8406365814 is 4185636048.

8406365814 is a `hidden beast` number, since 8 + 4 + 0 + 63 + 6 + 581 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8406365801) and next prime (8406365827).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8406365814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14931097 + ... + 14931659.

Almost surely, 2^8406365814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8406365814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12649595040).

8406365814 is an abundant number, since it is smaller than the sum of its proper divisors (16892824266).

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

8406365814 is a wasteful number, since it uses less digits than its factorization.

8406365814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8406365814 is about 91686.2356845345. The cubic root of 8406365814 is about 2033.3060911218.

The spelling of 8406365814 in words is "eight billion, four hundred six million, three hundred sixty-five thousand, eight hundred fourteen".