189020674813441 has 9 divisors (see below), whose sum is σ = 189123555645763. Its totient is φ = 188917849939000.

The previous prime is 189020674813427. The next prime is 189020674813469. The reversal of 189020674813441 is 144318476020981.

The square root of 189020674813441 is 13748479.

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

It can be written as a sum of positive squares in only one way, i.e., 188306210345841 + 714464467600 = 13722471^2 + 845260^2 .

It is not a de Polignac number, because 189020674813441 - 2¹⁵ = 189020674780673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189020678813441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44696303115 + ... + 44696307343.

Almost surely, 2^{189020674813441} is an apocalyptic number.

189020674813441 is the 13748479-th square number.

189020674813441 is the 6874240-th centered octagonal number.

It is an amenable number.

189020674813441 is a deficient number, since it is larger than the sum of its proper divisors (102880832322).

189020674813441 is an frugal number, since it uses more digits than its factorization.

189020674813441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14960 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 189020674813441 in words is "one hundred eighty-nine trillion, twenty billion, six hundred seventy-four million, eight hundred thirteen thousand, four hundred forty-one".