8069441854464 has 176 divisors, whose sum is σ = 24192823876640. Its totient is φ = 2689813204992.

The previous prime is 8069441854423. The next prime is 8069441854489. The reversal of 8069441854464 is 4644581449608.

8069441854464 is a `hidden beast` number, since 8 + 0 + 6 + 9 + 4 + 4 + 185 + 446 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437862 + ... + 4041114.

Almost surely, 2^{8069441854464} 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 8069441854464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096411938320).

8069441854464 is an abundant number, since it is smaller than the sum of its proper divisors (16123382022176).

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

8069441854464 is an frugal number, since it uses more digits than its factorization.

8069441854464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603294 (or 3603258 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 8069441854464 in words is "eight trillion, sixty-nine billion, four hundred forty-one million, eight hundred fifty-four thousand, four hundred sixty-four".