13084514256 has 80 divisors (see below), whose sum is σ = 36903441600. Its totient is φ = 3961896960.

The previous prime is 13084514251. The next prime is 13084514291. The reversal of 13084514256 is 65241548031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084514251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715920 + ... + 733968.

It is an arithmetic number, because the mean of its divisors is an integer number (461293020).

Almost surely, 2^13084514256 is an apocalyptic number.

13084514256 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 13084514256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451720800).

13084514256 is an abundant number, since it is smaller than the sum of its proper divisors (23818927344).

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

13084514256 is a wasteful number, since it uses less digits than its factorization.

13084514256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19444 (or 19438 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 13084514256 in words is "thirteen billion, eighty-four million, five hundred fourteen thousand, two hundred fifty-six".