47431835974656 has 1056 divisors, whose sum is σ = 167150788358400. Its totient is φ = 13244458106880.

The previous prime is 47431835974651. The next prime is 47431835974693. The reversal of 47431835974656 is 65647953813474.

47431835974656 is a `hidden beast` number, since 4 + 7 + 4 + 31 + 83 + 59 + 7 + 465 + 6 = 666.

47431835974656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47431835974651) 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 95 ways as a sum of consecutive naturals, for example, 11890656310 + ... + 11890660298.

It is an arithmetic number, because the mean of its divisors is an integer number (158286731400).

Almost surely, 2^{47431835974656} 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 47431835974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83575394179200).

47431835974656 is an abundant number, since it is smaller than the sum of its proper divisors (119718952383744).

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

47431835974656 is a wasteful number, since it uses less digits than its factorization.

47431835974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4199 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 47431835974656 in words is "forty-seven trillion, four hundred thirty-one billion, eight hundred thirty-five million, nine hundred seventy-four thousand, six hundred fifty-six".