1863134911089 has 45 divisors (see below), whose sum is σ = 2861154227547. Its totient is φ = 1208225109456.

The previous prime is 1863134911013. The next prime is 1863134911103. The reversal of 1863134911089 is 9801194313681.

The square root of 1863134911089 is 1364967.

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

1863134911089 is a `hidden beast` number, since 1 + 8 + 63 + 1 + 3 + 491 + 10 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1667158704225 + 195976206864 = 1291185^2 + 442692^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1863134911089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1863134911009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 454531962 + ... + 454536060.

Almost surely, 2^{1863134911089} is an apocalyptic number.

1863134911089 is the 1364967-th square number.

1863134911089 is the 682484-th centered octagonal number.

It is an amenable number.

1863134911089 is a deficient number, since it is larger than the sum of its proper divisors (998019316458).

1863134911089 is an frugal number, since it uses more digits than its factorization.

1863134911089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1863134911089 in words is "one trillion, eight hundred sixty-three billion, one hundred thirty-four million, nine hundred eleven thousand, eighty-nine".