15342724486441 has 27 divisors (see below), whose sum is σ = 17060196752389. Its totient is φ = 13787766080000.

The previous prime is 15342724486381. The next prime is 15342724486469. The reversal of 15342724486441 is 14468442724351.

The square root of 15342724486441 is 3916979.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9647055852841 + 5695668633600 = 3105971^2 + 2386560^2 .

It is not a de Polignac number, because 15342724486441 - 2⁹ = 15342724485929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15342724486741) 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, 3834720441 + ... + 3834724441.

Almost surely, 2^{15342724486441} is an apocalyptic number.

15342724486441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15342724486441 is the 3916979-th square number.

15342724486441 is the 1958490-th centered octagonal number.

It is an amenable number.

15342724486441 is a deficient number, since it is larger than the sum of its proper divisors (1717472265948).

15342724486441 is an frugal number, since it uses more digits than its factorization.

15342724486441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202 (or 4101 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 55.

The spelling of 15342724486441 in words is "fifteen trillion, three hundred forty-two billion, seven hundred twenty-four million, four hundred eighty-six thousand, four hundred forty-one".