13756080148561 has 27 divisors (see below), whose sum is σ = 14085831461457. Its totient is φ = 13434001331520.

The previous prime is 13756080148523. The next prime is 13756080148607. The reversal of 13756080148561 is 16584108065731.

The square root of 13756080148561 is 3708919.

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 7386735801025 + 6369344347536 = 2717855^2 + 2523756^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13756080148561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13756080142561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48954021741 + ... + 48954022021.

Almost surely, 2^{13756080148561} is an apocalyptic number.

13756080148561 is the 3708919-th square number.

13756080148561 is the 1854460-th centered octagonal number.

It is an amenable number.

13756080148561 is a deficient number, since it is larger than the sum of its proper divisors (329751312896).

13756080148561 is an frugal number, since it uses more digits than its factorization.

13756080148561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 13756080148561 in words is "thirteen trillion, seven hundred fifty-six billion, eighty million, one hundred forty-eight thousand, five hundred sixty-one".