47698636841856 has 6144 divisors, whose sum is σ = 220867411968000. Its totient is φ = 9868079923200.

The previous prime is 47698636841803. The next prime is 47698636841881. The reversal of 47698636841856 is 65814863689674.

47698636841856 is a `hidden beast` number, since 4 + 7 + 6 + 98 + 6 + 3 + 68 + 418 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 1538665704561 + ... + 1538665704591.

It is an arithmetic number, because the mean of its divisors is an integer number (35948472000).

Almost surely, 2^{47698636841856} 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 47698636841856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110433705984000).

47698636841856 is an abundant number, since it is smaller than the sum of its proper divisors (173168775126144).

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

47698636841856 is a wasteful number, since it uses less digits than its factorization.

47698636841856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 103 counting only the distinct ones).

The product of its digits is 10032906240, while the sum is 81.

The spelling of 47698636841856 in words is "forty-seven trillion, six hundred ninety-eight billion, six hundred thirty-six million, eight hundred forty-one thousand, eight hundred fifty-six".