46883665152 has 432 divisors, whose sum is σ = 151661922048. Its totient is φ = 13852016640.

The previous prime is 46883665141. The next prime is 46883665159. The reversal of 46883665152 is 25156638864.

46883665152 is a `hidden beast` number, since 4 + 68 + 8 + 3 + 66 + 515 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46883665159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63960978 + ... + 63961710.

It is an arithmetic number, because the mean of its divisors is an integer number (351069264).

Almost surely, 2^46883665152 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 46883665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75830961024).

46883665152 is an abundant number, since it is smaller than the sum of its proper divisors (104778256896).

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

46883665152 is a wasteful number, since it uses less digits than its factorization.

46883665152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 849 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 46883665152 in words is "forty-six billion, eight hundred eighty-three million, six hundred sixty-five thousand, one hundred fifty-two".