46564029369 has 81 divisors (see below), whose sum is σ = 80213287791. Its totient is φ = 25998017760.

The previous prime is 46564029361. The next prime is 46564029377. The reversal of 46564029369 is 96392046564.

The square root of 46564029369 is 215787.

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

46564029369 is a `hidden beast` number, since 46 + 56 + 402 + 93 + 69 = 666.

It is an interprime number because it is at equal distance from previous prime (46564029361) and next prime (46564029377).

It can be written as a sum of positive squares in only one way, i.e., 6888170025 + 39675859344 = 82995^2 + 199188^2 .

It is not a de Polignac number, because 46564029369 - 2³ = 46564029361 is a prime.

It is a super-2 number, since 2×46564029369² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46564029361) 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 80 ways as a sum of consecutive naturals, for example, 92572372 + ... + 92572874.

Almost surely, 2^46564029369 is an apocalyptic number.

46564029369 is the 215787-th square number.

46564029369 is the 107894-th centered octagonal number.

It is an amenable number.

46564029369 is a deficient number, since it is larger than the sum of its proper divisors (33649258422).

46564029369 is a wasteful number, since it uses less digits than its factorization.

46564029369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 46564029369 in words is "forty-six billion, five hundred sixty-four million, twenty-nine thousand, three hundred sixty-nine".