47228565765744 has 320 divisors, whose sum is σ = 150837629345280. Its totient is φ = 14026756423680.

The previous prime is 47228565765727. The next prime is 47228565765877. The reversal of 47228565765744 is 44756756582274.

47228565765744 is a `hidden beast` number, since 4 + 7 + 2 + 2 + 8 + 5 + 6 + 576 + 5 + 7 + 44 = 666.

47228565765744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47228565765744² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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, 238408624 + ... + 238606640.

It is an arithmetic number, because the mean of its divisors is an integer number (471367591704).

Almost surely, 2^{47228565765744} is an apocalyptic number.

47228565765744 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 47228565765744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75418814672640).

47228565765744 is an abundant number, since it is smaller than the sum of its proper divisors (103609063579536).

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

47228565765744 is a wasteful number, since it uses less digits than its factorization.

47228565765744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199045 (or 199033 counting only the distinct ones).

The product of its digits is 3161088000, while the sum is 72.

The spelling of 47228565765744 in words is "forty-seven trillion, two hundred twenty-eight billion, five hundred sixty-five million, seven hundred sixty-five thousand, seven hundred forty-four".