10046654289 has 135 divisors (see below), whose sum is σ = 18369821547. Its totient is φ = 5455882656.

The previous prime is 10046654287. The next prime is 10046654297. The reversal of 10046654289 is 98245664001.

The square root of 10046654289 is 100233.

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

10046654289 is a `hidden beast` number, since 100 + 466 + 5 + 4 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8989884225 + 1056770064 = 94815^2 + 32508^2 .

It is not a de Polignac number, because 10046654289 - 2¹ = 10046654287 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10046654287) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 233643102 + ... + 233643144.

Almost surely, 2^10046654289 is an apocalyptic number.

10046654289 is the 100233-rd square number.

10046654289 is the 50117-th centered octagonal number.

It is an amenable number.

10046654289 is a deficient number, since it is larger than the sum of its proper divisors (8323167258).

10046654289 is an frugal number, since it uses more digits than its factorization.

10046654289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10046654289 in words is "ten billion, forty-six million, six hundred fifty-four thousand, two hundred eighty-nine".