8314397518000 has 320 divisors, whose sum is σ = 23672970547200. Its totient is φ = 2822950368000.

The previous prime is 8314397517977. The next prime is 8314397518109. The reversal of 8314397518000 is 8157934138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70599165 + ... + 70716835.

It is an arithmetic number, because the mean of its divisors is an integer number (73978032960).

Almost surely, 2^{8314397518000} is an apocalyptic number.

8314397518000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8314397518000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11836485273600).

8314397518000 is an abundant number, since it is smaller than the sum of its proper divisors (15358573029200).

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

8314397518000 is a wasteful number, since it uses less digits than its factorization.

8314397518000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117818 (or 117788 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 8314397518000 in words is "eight trillion, three hundred fourteen billion, three hundred ninety-seven million, five hundred eighteen thousand".