1459189104961 has 27 divisors (see below), whose sum is σ = 1803323624547. Its totient is φ = 1177044993600.

The previous prime is 1459189104941. The next prime is 1459189104983. The reversal of 1459189104961 is 1694019819541.

It is a happy number.

The square root of 1459189104961 is 1207969.

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., 1136046881025 + 323142223936 = 1065855^2 + 568456^2 .

It is not a de Polignac number, because 1459189104961 - 2¹⁵ = 1459189072193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1459189104896 and 1459189104905.

It is not an unprimeable number, because it can be changed into a prime (1459189104941) 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, 143743236 + ... + 143753386.

Almost surely, 2^{1459189104961} is an apocalyptic number.

1459189104961 is the 1207969-th square number.

1459189104961 is the 603985-th centered octagonal number.

It is an amenable number.

1459189104961 is a deficient number, since it is larger than the sum of its proper divisors (344134519586).

1459189104961 is an frugal number, since it uses more digits than its factorization.

1459189104961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20350 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 58.

The spelling of 1459189104961 in words is "one trillion, four hundred fifty-nine billion, one hundred eighty-nine million, one hundred four thousand, nine hundred sixty-one".