8465138468352 has 320 divisors, whose sum is σ = 26169202920960. Its totient is φ = 2696722440192.

The previous prime is 8465138468333. The next prime is 8465138468359. The reversal of 8465138468352 is 2538648315648.

8465138468352 is a `hidden beast` number, since 8 + 4 + 6 + 5 + 138 + 468 + 35 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8465138468352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8465138468359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393295863 + ... + 393317385.

It is an arithmetic number, because the mean of its divisors is an integer number (81778759128).

Almost surely, 2^{8465138468352} 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 8465138468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13084601460480).

8465138468352 is an abundant number, since it is smaller than the sum of its proper divisors (17704064452608).

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

8465138468352 is a wasteful number, since it uses less digits than its factorization.

8465138468352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22810 (or 22788 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 8465138468352 in words is "eight trillion, four hundred sixty-five billion, one hundred thirty-eight million, four hundred sixty-eight thousand, three hundred fifty-two".