13825069806834 has 576 divisors, whose sum is σ = 38807272378368. Its totient is φ = 3511578470400.

The previous prime is 13825069806833. The next prime is 13825069806923. The reversal of 13825069806834 is 43860896052831.

It is a happy number.

13825069806834 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 506 + 98 + 0 + 6 + 8 + 34 = 666.

It is a super-2 number, since 2×13825069806834² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13825069806833) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1898262157 + ... + 1898269439.

It is an arithmetic number, because the mean of its divisors is an integer number (67373736768).

Almost surely, 2^{13825069806834} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13825069806834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403636189184).

13825069806834 is an abundant number, since it is smaller than the sum of its proper divisors (24982202571534).

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

13825069806834 is a wasteful number, since it uses less digits than its factorization.

13825069806834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7463 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 13825069806834 in words is "thirteen trillion, eight hundred twenty-five billion, sixty-nine million, eight hundred six thousand, eight hundred thirty-four".