13534346304 has 126 divisors (see below), whose sum is σ = 40943627790. Its totient is φ = 4273938432.

The previous prime is 13534346303. The next prime is 13534346333. The reversal of 13534346304 is 40364343531.

13534346304 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 346 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13521038400 + 13307904 = 116280^2 + 3648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13534346303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 175392 + ... + 240480.

Almost surely, 2^13534346304 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 13534346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20471813895).

13534346304 is an abundant number, since it is smaller than the sum of its proper divisors (27409281486).

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

13534346304 is a wasteful number, since it uses less digits than its factorization.

13534346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65145 (or 65113 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 13534346304 its reverse (40364343531), we get a palindrome (53898689835).

The spelling of 13534346304 in words is "thirteen billion, five hundred thirty-four million, three hundred forty-six thousand, three hundred four".