47909474168832 has 416 divisors, whose sum is σ = 151567836672000. Its totient is φ = 14921718497280.

The previous prime is 47909474168761. The next prime is 47909474168837. The reversal of 47909474168832 is 23886147490974.

47909474168832 is a `hidden beast` number, since 4 + 7 + 90 + 9 + 47 + 416 + 8 + 83 + 2 = 666.

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 (47909474168837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99181269 + ... + 99663147.

Almost surely, 2^{47909474168832} 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 47909474168832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75783918336000).

47909474168832 is an abundant number, since it is smaller than the sum of its proper divisors (103658362503168).

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

47909474168832 is a wasteful number, since it uses less digits than its factorization.

47909474168832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481972 (or 481944 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 47909474168832 in words is "forty-seven trillion, nine hundred nine billion, four hundred seventy-four million, one hundred sixty-eight thousand, eight hundred thirty-two".