15036782197441 has 27 divisors (see below), whose sum is σ = 15940686504771. Its totient is φ = 14182064804448.

The previous prime is 15036782197439. The next prime is 15036782197477. The reversal of 15036782197441 is 14479128763051.

The square root of 15036782197441 is 3877729.

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

15036782197441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13742375399041 + 1294406798400 = 3707071^2 + 1137720^2 .

It is not a de Polignac number, because 15036782197441 - 2¹ = 15036782197439 is a prime.

It is a super-2 number, since 2×15036782197441² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15036782197741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30133831810 + ... + 30133832308.

It is an arithmetic number, because the mean of its divisors is an integer number (590395796473).

It is a 1-persistent number, because it is pandigital, but 2⋅15036782197441 = 30073564394882 is not.

Almost surely, 2^{15036782197441} is an apocalyptic number.

15036782197441 is the 3877729-th square number.

15036782197441 is the 1938865-th centered octagonal number.

It is an amenable number.

15036782197441 is a deficient number, since it is larger than the sum of its proper divisors (903904307330).

15036782197441 is an frugal number, since it uses more digits than its factorization.

15036782197441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 15036782197441 in words is "fifteen trillion, thirty-six billion, seven hundred eighty-two million, one hundred ninety-seven thousand, four hundred forty-one".