406683852156 has 108 divisors (see below), whose sum is σ = 1048250385000. Its totient is φ = 132941623680.

The previous prime is 406683852143. The next prime is 406683852203. The reversal of 406683852156 is 651258386604.

406683852156 is a `hidden beast` number, since 4 + 0 + 6 + 68 + 3 + 8 + 521 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 46746295 + ... + 46754993.

Almost surely, 2^406683852156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406683852156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524125192500).

406683852156 is an abundant number, since it is smaller than the sum of its proper divisors (641566532844).

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

406683852156 is a wasteful number, since it uses less digits than its factorization.

406683852156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 406683852156 in words is "four hundred six billion, six hundred eighty-three million, eight hundred fifty-two thousand, one hundred fifty-six".