47753298144 has 192 divisors, whose sum is σ = 141688673280. Its totient is φ = 15643998720.

The previous prime is 47753298143. The next prime is 47753298161. The reversal of 47753298144 is 44189235774.

47753298144 is a `hidden beast` number, since 4 + 7 + 7 + 532 + 98 + 14 + 4 = 666.

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 (47753298143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22880269 + ... + 22882355.

It is an arithmetic number, because the mean of its divisors is an integer number (737961840).

Almost surely, 2^47753298144 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 47753298144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70844336640).

47753298144 is an abundant number, since it is smaller than the sum of its proper divisors (93935375136).

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

47753298144 is a wasteful number, since it uses less digits than its factorization.

47753298144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2536 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 47753298144 in words is "forty-seven billion, seven hundred fifty-three million, two hundred ninety-eight thousand, one hundred forty-four".