50103505894689 has 135 divisors (see below), whose sum is σ = 81993502981929. Its totient is φ = 30476685844800.

The previous prime is 50103505894661. The next prime is 50103505894789. The reversal of 50103505894689 is 98649850530105.

The square root of 50103505894689 is 7078383.

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

50103505894689 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 3 + 5 + 0 + 589 + 46 + 8 + 9 = 666.

50103505894689 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 4 ways, for example, as 1889813837025 + 48213692057664 = 1374705^2 + 6943608^2 .

It is a de Polignac number, because none of the positive numbers 2^k-50103505894689 is a prime.

It is a super-3 number, since 3×50103505894689³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (50103505894609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 83645251612 + ... + 83645252210.

Almost surely, 2^{50103505894689} is an apocalyptic number.

50103505894689 is the 7078383-rd square number.

50103505894689 is the 3539192-nd centered octagonal number.

It is an amenable number.

50103505894689 is a deficient number, since it is larger than the sum of its proper divisors (31889997087240).

50103505894689 is an frugal number, since it uses more digits than its factorization.

50103505894689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 50103505894689 in words is "fifty trillion, one hundred three billion, five hundred five million, eight hundred ninety-four thousand, six hundred eighty-nine".