47771666548144 has 320 divisors, whose sum is σ = 122988128256000. Its totient is φ = 17412556677120.

The previous prime is 47771666548141. The next prime is 47771666548157. The reversal of 47771666548144 is 44184566617774.

47771666548144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47771666548141) 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, 6156932137 + ... + 6156939895.

It is an arithmetic number, because the mean of its divisors is an integer number (384337900800).

Almost surely, 2^{47771666548144} is an apocalyptic number.

47771666548144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47771666548144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61494064128000).

47771666548144 is an abundant number, since it is smaller than the sum of its proper divisors (75216461707856).

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

47771666548144 is a wasteful number, since it uses less digits than its factorization.

47771666548144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11056 (or 11050 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 70.

The spelling of 47771666548144 in words is "forty-seven trillion, seven hundred seventy-one billion, six hundred sixty-six million, five hundred forty-eight thousand, one hundred forty-four".