46602879129 has 27 divisors (see below), whose sum is σ = 67827082687. Its totient is φ = 30834143664.

The previous prime is 46602879083. The next prime is 46602879199. The reversal of 46602879129 is 92197820664.

The square root of 46602879129 is 215877.

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

46602879129 is a `hidden beast` number, since 4 + 6 + 602 + 8 + 7 + 9 + 1 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2608655625 + 43994223504 = 51075^2 + 209748^2 .

It is a de Polignac number, because none of the positive numbers 2^k-46602879129 is a prime.

It is a super-2 number, since 2×46602879129² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46602879199) 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, 147012079 + ... + 147012395.

Almost surely, 2^46602879129 is an apocalyptic number.

46602879129 is the 215877-th square number.

46602879129 is the 107939-th centered octagonal number.

It is an amenable number.

46602879129 is a deficient number, since it is larger than the sum of its proper divisors (21224203558).

46602879129 is an frugal number, since it uses more digits than its factorization.

46602879129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 46602879129 in words is "forty-six billion, six hundred two million, eight hundred seventy-nine thousand, one hundred twenty-nine".