47239531440768 has 512 divisors, whose sum is σ = 152877404160000. Its totient is φ = 14295885004800.

The previous prime is 47239531440743. The next prime is 47239531440823. The reversal of 47239531440768 is 86704413593274.

47239531440768 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 95 + 31 + 440 + 76 + 8 = 666.

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, 566386333 + ... + 566469731.

It is an arithmetic number, because the mean of its divisors is an integer number (298588680000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅47239531440768 = 94479062881536, but 3⋅47239531440768 = 141718594322304 is not.

Almost surely, 2^{47239531440768} is an apocalyptic number.

47239531440768 is a gapful number since it is divisible by the number (48) 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 47239531440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76438702080000).

47239531440768 is an abundant number, since it is smaller than the sum of its proper divisors (105637872719232).

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

47239531440768 is a wasteful number, since it uses less digits than its factorization.

47239531440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83781 (or 83763 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 47239531440768 in words is "forty-seven trillion, two hundred thirty-nine billion, five hundred thirty-one million, four hundred forty thousand, seven hundred sixty-eight".