46992267729 has 27 divisors (see below), whose sum is σ = 74620754299. Its totient is φ = 28475826720.

The previous prime is 46992267691. The next prime is 46992267737. The reversal of 46992267729 is 92776229964.

The square root of 46992267729 is 216777.

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

46992267729 is a `hidden beast` number, since 469 + 92 + 2 + 67 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42280818129 + 4711449600 = 205623^2 + 68640^2 .

It is not a de Polignac number, because 46992267729 - 2¹⁹ = 46991743441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46992267779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7150357 + ... + 7156925.

Almost surely, 2^46992267729 is an apocalyptic number.

46992267729 is the 216777-th square number.

46992267729 is the 108389-th centered octagonal number.

It is an amenable number.

46992267729 is a deficient number, since it is larger than the sum of its proper divisors (27628486570).

46992267729 is an frugal number, since it uses more digits than its factorization.

46992267729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13166 (or 6583 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

It can be divided in two parts, 46992 and 267729, that added together give a square (314721 = 561²).

The spelling of 46992267729 in words is "forty-six billion, nine hundred ninety-two million, two hundred sixty-seven thousand, seven hundred twenty-nine".