413649048132 has 60 divisors (see below), whose sum is σ = 1081990111356. Its totient is φ = 137802712320.

The previous prime is 413649048121. The next prime is 413649048217. The reversal of 413649048132 is 231840946314.

413649048132 is a `hidden beast` number, since 4 + 136 + 4 + 9 + 0 + 481 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 206128712196 + 207520335936 = 454014^2 + 455544^2 .

It is a super-2 number, since 2×413649048132² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186688 + ... + 928520.

Almost surely, 2^413649048132 is an apocalyptic number.

It is an amenable number.

413649048132 is an abundant number, since it is smaller than the sum of its proper divisors (668341063224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413649048132 is a wasteful number, since it uses less digits than its factorization.

413649048132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743570 (or 743559 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 413649048132 in words is "four hundred thirteen billion, six hundred forty-nine million, forty-eight thousand, one hundred thirty-two".