8468881344 has 224 divisors, whose sum is σ = 31040832000. Its totient is φ = 2199674880.

The previous prime is 8468881327. The next prime is 8468881361. The reversal of 8468881344 is 4431888648.

It is an interprime number because it is at equal distance from previous prime (8468881327) and next prime (8468881361).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101232 + ... + 164880.

Almost surely, 2^8468881344 is an apocalyptic number.

8468881344 is a gapful number since it is divisible by the number (84) 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 8468881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15520416000).

8468881344 is an abundant number, since it is smaller than the sum of its proper divisors (22571950656).

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

8468881344 is a wasteful number, since it uses less digits than its factorization.

8468881344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63688 (or 63672 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 8468881344 is about 92026.5252196344. The cubic root of 8468881344 is about 2038.3340031306.

The spelling of 8468881344 in words is "eight billion, four hundred sixty-eight million, eight hundred eighty-one thousand, three hundred forty-four".