47323448644320 has 576 divisors, whose sum is σ = 170703574239744. Its totient is φ = 12376308971520.

The previous prime is 47323448644291. The next prime is 47323448644337. The reversal of 47323448644320 is 2344684432374.

47323448644320 is a `hidden beast` number, since 4 + 7 + 3 + 234 + 4 + 86 + 4 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9443910615 + ... + 9443915625.

It is an arithmetic number, because the mean of its divisors is an integer number (296360371944).

Almost surely, 2^{47323448644320} is an apocalyptic number.

47323448644320 is a gapful number since it is divisible by the number (40) 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 47323448644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85351787119872).

47323448644320 is an abundant number, since it is smaller than the sum of its proper divisors (123380125595424).

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

47323448644320 is a wasteful number, since it uses less digits than its factorization.

47323448644320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9677 (or 9657 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 54.

The spelling of 47323448644320 in words is "forty-seven trillion, three hundred twenty-three billion, four hundred forty-eight million, six hundred forty-four thousand, three hundred twenty".