47543614272 has 1008 divisors, whose sum is σ = 188876513280. Its totient is φ = 11140208640.

The previous prime is 47543614259. The next prime is 47543614273. The reversal of 47543614272 is 27241634574.

47543614272 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 3 + 614 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

Its product of digits (1128960) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47543614273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 213199953 + ... + 213200175.

Almost surely, 2^47543614272 is an apocalyptic number.

47543614272 is a gapful number since it is divisible by the number (42) 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 47543614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94438256640).

47543614272 is an abundant number, since it is smaller than the sum of its proper divisors (141332899008).

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

47543614272 is a wasteful number, since it uses less digits than its factorization.

47543614272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 47543614272 in words is "forty-seven billion, five hundred forty-three million, six hundred fourteen thousand, two hundred seventy-two".