13746082720041 has 27 divisors (see below), whose sum is σ = 23097290225373. Its totient is φ = 7854859920600.

The previous prime is 13746082720033. The next prime is 13746082720057. The reversal of 13746082720041 is 14002728064731.

The square root of 13746082720041 is 3707571.

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

13746082720041 is a `hidden beast` number, since 1 + 3 + 7 + 460 + 82 + 72 + 0 + 0 + 41 = 666.

It is not a de Polignac number, because 13746082720041 - 2³ = 13746082720033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13746482720041) 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, 77770716 + ... + 77947266.

Almost surely, 2^{13746082720041} is an apocalyptic number.

13746082720041 is the 3707571-st square number.

13746082720041 is the 1853786-th centered octagonal number.

It is an amenable number.

13746082720041 is a deficient number, since it is larger than the sum of its proper divisors (9351207505332).

13746082720041 is an frugal number, since it uses more digits than its factorization.

13746082720041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353122 (or 176561 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13746082720041 in words is "thirteen trillion, seven hundred forty-six billion, eighty-two million, seven hundred twenty thousand, forty-one".