13272422436 has 243 divisors, whose sum is σ = 42461502993. Its totient is φ = 3483829440.

The previous prime is 13272422381. The next prime is 13272422437. The reversal of 13272422436 is 63422427231.

The square root of 13272422436 is 115206.

It is a perfect power (a square), and thus also a powerful number.

13272422436 is a `hidden beast` number, since 132 + 72 + 4 + 22 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1963376100 + 11309046336 = 44310^2 + 106344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13272422436.

It is not an unprimeable number, because it can be changed into a prime (13272422437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 62902371 + ... + 62902581.

Almost surely, 2^13272422436 is an apocalyptic number.

13272422436 is the 115206-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13272422436

13272422436 is an abundant number, since it is smaller than the sum of its proper divisors (29189080557).

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

13272422436 is a wasteful number, since it uses less digits than its factorization.

13272422436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

Multiplying 13272422436 by its sum of digits (36), we get a square (477807207696 = 691236²).

13272422436 divided by its sum of digits (36) gives a square (368678401 = 19201²).

Adding to 13272422436 its reverse (63422427231), we get a palindrome (76694849667).

The spelling of 13272422436 in words is "thirteen billion, two hundred seventy-two million, four hundred twenty-two thousand, four hundred thirty-six".