47409885648104 has 96 divisors (see below), whose sum is σ = 105938958585600. Its totient is φ = 19821063064320.

The previous prime is 47409885648091. The next prime is 47409885648107. The reversal of 47409885648104 is 40184658890474.

47409885648104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47409885648104² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47409885648107) 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 23 ways as a sum of consecutive naturals, for example, 175676777 + ... + 175946439.

It is an arithmetic number, because the mean of its divisors is an integer number (1103530818600).

Almost surely, 2^{47409885648104} 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 47409885648104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52969479292800).

47409885648104 is an abundant number, since it is smaller than the sum of its proper divisors (58529072937496).

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

47409885648104 is a wasteful number, since it uses less digits than its factorization.

47409885648104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280663 (or 280652 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 68.

The spelling of 47409885648104 in words is "forty-seven trillion, four hundred nine billion, eight hundred eighty-five million, six hundred forty-eight thousand, one hundred four".