8141232606864 has 160 divisors (see below), whose sum is σ = 24387513384960. Its totient is φ = 2292085824000.

The previous prime is 8141232606811. The next prime is 8141232606943. The reversal of 8141232606864 is 4686062321418.

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, 45260497 + ... + 45440015.

It is an arithmetic number, because the mean of its divisors is an integer number (152421958656).

Almost surely, 2^{8141232606864} is an apocalyptic number.

8141232606864 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 8141232606864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193756692480).

8141232606864 is an abundant number, since it is smaller than the sum of its proper divisors (16246280778096).

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

8141232606864 is a wasteful number, since it uses less digits than its factorization.

8141232606864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181509 (or 181503 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 8141232606864 in words is "eight trillion, one hundred forty-one billion, two hundred thirty-two million, six hundred six thousand, eight hundred sixty-four".