47868750144 has 280 divisors, whose sum is σ = 150857593128. Its totient is φ = 14956462080.

The previous prime is 47868750143. The next prime is 47868750187. The reversal of 47868750144 is 44105786874.

47868750144 is a `hidden beast` number, since 4 + 78 + 68 + 7 + 501 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20943878400 + 26924871744 = 144720^2 + 164088^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47868750143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24763002 + ... + 24764934.

Almost surely, 2^47868750144 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 47868750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75428796564).

47868750144 is an abundant number, since it is smaller than the sum of its proper divisors (102988842984).

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

47868750144 is a wasteful number, since it uses less digits than its factorization.

47868750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 47868750144 in words is "forty-seven billion, eight hundred sixty-eight million, seven hundred fifty thousand, one hundred forty-four".