47876431492968 has 256 divisors, whose sum is σ = 135156034944000. Its totient is φ = 14030164721664.

The previous prime is 47876431492961. The next prime is 47876431493029. The reversal of 47876431492968 is 86929413467874.

47876431492968 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 (78).

It is a junction number, because it is equal to n+sod(n) for n = 47876431492893 and 47876431492902.

It is not an unprimeable number, because it can be changed into a prime (47876431492961) 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 63 ways as a sum of consecutive naturals, for example, 784096296 + ... + 784157352.

It is an arithmetic number, because the mean of its divisors is an integer number (527953261500).

Almost surely, 2^{47876431492968} 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 47876431492968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67578017472000).

47876431492968 is an abundant number, since it is smaller than the sum of its proper divisors (87279603451032).

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

47876431492968 is a wasteful number, since it uses less digits than its factorization.

47876431492968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62284 (or 62280 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 78.

The spelling of 47876431492968 in words is "forty-seven trillion, eight hundred seventy-six billion, four hundred thirty-one million, four hundred ninety-two thousand, nine hundred sixty-eight".