47613566952 has 768 divisors, whose sum is σ = 172523520000. Its totient is φ = 11778213888.

The previous prime is 47613566947. The next prime is 47613566953. The reversal of 47613566952 is 25966531674.

47613566952 is a `hidden beast` number, since 4 + 76 + 1 + 3 + 566 + 9 + 5 + 2 = 666.

Its product of digits (8164800) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (47613566953) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 374909913 + ... + 374910039.

It is an arithmetic number, because the mean of its divisors is an integer number (224640000).

Almost surely, 2^47613566952 is an apocalyptic number.

47613566952 is a gapful number since it is divisible by the number (42) 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 47613566952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86261760000).

47613566952 is an abundant number, since it is smaller than the sum of its proper divisors (124909953048).

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

47613566952 is a wasteful number, since it uses less digits than its factorization.

47613566952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 47613566952 in words is "forty-seven billion, six hundred thirteen million, five hundred sixty-six thousand, nine hundred fifty-two".