13134846816 has 768 divisors, whose sum is σ = 51697336320. Its totient is φ = 3145236480.

The previous prime is 13134846749. The next prime is 13134846821. The reversal of 13134846816 is 61864843131.

13134846816 is a `hidden beast` number, since 131 + 3 + 48 + 468 + 16 = 666.

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 127 ways as a sum of consecutive naturals, for example, 41434690 + ... + 41435006.

It is an arithmetic number, because the mean of its divisors is an integer number (67314240).

Almost surely, 2^13134846816 is an apocalyptic number.

13134846816 is a gapful number since it is divisible by the number (16) 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 13134846816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25848668160).

13134846816 is an abundant number, since it is smaller than the sum of its proper divisors (38562489504).

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

13134846816 is a wasteful number, since it uses less digits than its factorization.

13134846816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 13134846816 in words is "thirteen billion, one hundred thirty-four million, eight hundred forty-six thousand, eight hundred sixteen".