47239456297824 has 384 divisors, whose sum is σ = 157890641126400. Its totient is φ = 13460525568000.

The previous prime is 47239456297801. The next prime is 47239456297841. The reversal of 47239456297824 is 42879265493274.

47239456297824 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 9 + 456 + 2 + 97 + 82 + 4 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6747526324 + ... + 6747533324.

It is an arithmetic number, because the mean of its divisors is an integer number (411173544600).

Almost surely, 2^{47239456297824} 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 47239456297824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78945320563200).

47239456297824 is an abundant number, since it is smaller than the sum of its proper divisors (110651184828576).

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

47239456297824 is a wasteful number, since it uses less digits than its factorization.

47239456297824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9869 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 47239456297824 in words is "forty-seven trillion, two hundred thirty-nine billion, four hundred fifty-six million, two hundred ninety-seven thousand, eight hundred twenty-four".