13103647050816 has 567 divisors, whose sum is σ = 45310892731221. Its totient is φ = 3609934046208.

The previous prime is 13103647050763. The next prime is 13103647050839. The reversal of 13103647050816 is 61805074630131.

The square root of 13103647050816 is 3619896.

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

13103647050816 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 64 + 70 + 508 + 16 = 666.

13103647050816 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., 6871234660416 + 6232412390400 = 2621304^2 + 2496480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17636132941 + ... + 17636133683.

Almost surely, 2^{13103647050816} is an apocalyptic number.

13103647050816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13103647050816 is the 3619896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103647050816

13103647050816 is an abundant number, since it is smaller than the sum of its proper divisors (32207245680405).

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

13103647050816 is an frugal number, since it uses more digits than its factorization.

13103647050816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13103647050816 in words is "thirteen trillion, one hundred three billion, six hundred forty-seven million, fifty thousand, eight hundred sixteen".