13431728772 has 336 divisors, whose sum is σ = 44328302592. Its totient is φ = 3457909440.

The previous prime is 13431728753. The next prime is 13431728773. The reversal of 13431728772 is 27782713431.

13431728772 is a `hidden beast` number, since 1 + 3 + 431 + 72 + 87 + 72 = 666.

It is a super-2 number, since 2×13431728772² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13431728773) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36598533 + ... + 36598899.

It is an arithmetic number, because the mean of its divisors is an integer number (131929472).

Almost surely, 2^13431728772 is an apocalyptic number.

13431728772 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 13431728772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22164151296).

13431728772 is an abundant number, since it is smaller than the sum of its proper divisors (30896573820).

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

13431728772 is a wasteful number, since it uses less digits than its factorization.

13431728772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 13431728772 in words is "thirteen billion, four hundred thirty-one million, seven hundred twenty-eight thousand, seven hundred seventy-two".