46642411424664 has 192 divisors, whose sum is σ = 142667123407200. Its totient is φ = 14108684325120.

The previous prime is 46642411424639. The next prime is 46642411424683.

46642411424664 is a `hidden beast` number, since 4 + 6 + 6 + 424 + 114 + 2 + 46 + 64 = 666.

46642411424664 is nontrivially palindromic in base 10.

46642411424664 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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46642411424664.

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 47 ways as a sum of consecutive naturals, for example, 12955774 + ... + 16159730.

Almost surely, 2^{46642411424664} is an apocalyptic number.

46642411424664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46642411424664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71333561703600).

46642411424664 is an abundant number, since it is smaller than the sum of its proper divisors (96024711982536).

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

46642411424664 is a wasteful number, since it uses less digits than its factorization.

46642411424664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204551 (or 3204530 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 46642411424664 in words is "forty-six trillion, six hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, six hundred sixty-four".