46346783616 has 384 divisors, whose sum is σ = 158071080960. Its totient is φ = 12755128320.

The previous prime is 46346783563. The next prime is 46346783687. The reversal of 46346783616 is 61638764364.

46346783616 is a `hidden beast` number, since 46 + 3 + 467 + 83 + 61 + 6 = 666.

46346783616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 99243415 + ... + 99243881.

It is an arithmetic number, because the mean of its divisors is an integer number (411643440).

Almost surely, 2^46346783616 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 46346783616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79035540480).

46346783616 is an abundant number, since it is smaller than the sum of its proper divisors (111724297344).

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

46346783616 is a wasteful number, since it uses less digits than its factorization.

46346783616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 907 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 46346783616 in words is "forty-six billion, three hundred forty-six million, seven hundred eighty-three thousand, six hundred sixteen".