13484085072 has 80 divisors (see below), whose sum is σ = 36785175360. Its totient is φ = 4244438016.

The previous prime is 13484085071. The next prime is 13484085073. The reversal of 13484085072 is 27058048431.

It is an interprime number because it is at equal distance from previous prime (13484085071) and next prime (13484085073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13484085071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261838 + ... + 309074.

It is an arithmetic number, because the mean of its divisors is an integer number (459814692).

Almost surely, 2^13484085072 is an apocalyptic number.

13484085072 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 13484085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18392587680).

13484085072 is an abundant number, since it is smaller than the sum of its proper divisors (23301090288).

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

13484085072 is a wasteful number, since it uses less digits than its factorization.

13484085072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47580 (or 47574 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

It can be divided in two parts, 134840 and 85072, that added together give a palindrome (219912).

The spelling of 13484085072 in words is "thirteen billion, four hundred eighty-four million, eighty-five thousand, seventy-two".