47271464131584 has 1408 divisors, whose sum is σ = 166375359866880. Its totient is φ = 11575413964800.

The previous prime is 47271464131571. The next prime is 47271464131627. The reversal of 47271464131584 is 48513146417274.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×47271464131584² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72391215802 + ... + 72391216454.

Almost surely, 2^{47271464131584} is an apocalyptic number.

47271464131584 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 47271464131584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83187679933440).

47271464131584 is an abundant number, since it is smaller than the sum of its proper divisors (119103895735296).

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

47271464131584 is a wasteful number, since it uses less digits than its factorization.

47271464131584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 939 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 57.

The spelling of 47271464131584 in words is "forty-seven trillion, two hundred seventy-one billion, four hundred sixty-four million, one hundred thirty-one thousand, five hundred eighty-four".