46613313340056 has 192 divisors, whose sum is σ = 129579976125600. Its totient is φ = 15129507649536.

The previous prime is 46613313340049. The next prime is 46613313340171. The reversal of 46613313340056 is 65004331331664.

It is a happy number.

46613313340056 is a `hidden beast` number, since 4 + 6 + 61 + 3 + 3 + 133 + 400 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46613313339993 and 46613313340020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3410141190 + ... + 3410154858.

Almost surely, 2^{46613313340056} 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 46613313340056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64789988062800).

46613313340056 is an abundant number, since it is smaller than the sum of its proper divisors (82966662785544).

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

46613313340056 is a wasteful number, since it uses less digits than its factorization.

46613313340056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17050 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 46613313340056 in words is "forty-six trillion, six hundred thirteen billion, three hundred thirteen million, three hundred forty thousand, fifty-six".