8345108643840 has 896 divisors, whose sum is σ = 30350959788600. Its totient is φ = 2201506283520.

The previous prime is 8345108643811. The next prime is 8345108643881. The reversal of 8345108643840 is 483468015438.

It is a happy number.

8345108643840 is a `hidden beast` number, since 8 + 3 + 4 + 510 + 8 + 6 + 43 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8208362520576 + 136746123264 = 2865024^2 + 369792^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13018889920 + ... + 13018890560.

Almost surely, 2^{8345108643840} is an apocalyptic number.

8345108643840 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 8345108643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175479894300).

8345108643840 is an abundant number, since it is smaller than the sum of its proper divisors (22005851144760).

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

8345108643840 is an frugal number, since it uses more digits than its factorization.

8345108643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 8345108643840 in words is "eight trillion, three hundred forty-five billion, one hundred eight million, six hundred forty-three thousand, eight hundred forty".