8003453868 has 144 divisors (see below), whose sum is σ = 22094130240. Its totient is φ = 2441028096.

The previous prime is 8003453867. The next prime is 8003453873. The reversal of 8003453868 is 8683543008.

8003453868 is a `hidden beast` number, since 80 + 0 + 34 + 538 + 6 + 8 = 666.

It is a super-2 number, since 2×8003453868² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8003453867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6543505 + ... + 6544727.

It is an arithmetic number, because the mean of its divisors is an integer number (153431460).

Almost surely, 2^8003453868 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 8003453868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047065120).

8003453868 is an abundant number, since it is smaller than the sum of its proper divisors (14090676372).

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

8003453868 is a wasteful number, since it uses less digits than its factorization.

8003453868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1282 counting only the distinct ones).

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

The square root of 8003453868 is about 89462.0247255784. The cubic root of 8003453868 is about 2000.2877809224.

The spelling of 8003453868 in words is "eight billion, three million, four hundred fifty-three thousand, eight hundred sixty-eight".