46566961632 has 288 divisors, whose sum is σ = 139287133440. Its totient is φ = 14744125440.

The previous prime is 46566961621. The next prime is 46566961667. The reversal of 46566961632 is 23616966564.

46566961632 is a `hidden beast` number, since 46 + 566 + 9 + 6 + 1 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 76716273 + ... + 76716879.

It is an arithmetic number, because the mean of its divisors is an integer number (483635880).

Almost surely, 2^46566961632 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 46566961632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69643566720).

46566961632 is an abundant number, since it is smaller than the sum of its proper divisors (92720171808).

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

46566961632 is a wasteful number, since it uses less digits than its factorization.

46566961632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 46566961632 in words is "forty-six billion, five hundred sixty-six million, nine hundred sixty-one thousand, six hundred thirty-two".