46606204262664 has 256 divisors, whose sum is σ = 134716750560000. Its totient is φ = 14911173623808.

The previous prime is 46606204262617. The next prime is 46606204262707. The reversal of 46606204262664 is 46626240260664.

46606204262664 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 6 + 2 + 0 + 4 + 2 + 626 + 6 + 4 = 666.

46606204262664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46606204262664.

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 63 ways as a sum of consecutive naturals, for example, 5872013704 + ... + 5872021640.

It is an arithmetic number, because the mean of its divisors is an integer number (526237306875).

Almost surely, 2^{46606204262664} 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 46606204262664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67358375280000).

46606204262664 is an abundant number, since it is smaller than the sum of its proper divisors (88110546297336).

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

46606204262664 is a wasteful number, since it uses less digits than its factorization.

46606204262664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13397 (or 13387 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 46606204262664 in words is "forty-six trillion, six hundred six billion, two hundred four million, two hundred sixty-two thousand, six hundred sixty-four".