13706230858272 has 768 divisors, whose sum is σ = 45468689817600. Its totient is φ = 3990767616000.

The previous prime is 13706230858241. The next prime is 13706230858279. The reversal of 13706230858272 is 27285803260731.

13706230858272 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 62 + 308 + 5 + 8 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13706230858279) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4613337747 + ... + 4613340717.

It is an arithmetic number, because the mean of its divisors is an integer number (59204023200).

Almost surely, 2^{13706230858272} is an apocalyptic number.

13706230858272 is a gapful number since it is divisible by the number (12) 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 13706230858272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22734344908800).

13706230858272 is an abundant number, since it is smaller than the sum of its proper divisors (31762458959328).

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

13706230858272 is a wasteful number, since it uses less digits than its factorization.

13706230858272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 13706230858272 in words is "thirteen trillion, seven hundred six billion, two hundred thirty million, eight hundred fifty-eight thousand, two hundred seventy-two".