52471141632 has 1296 divisors, whose sum is σ = 209133969408. Its totient is φ = 12809871360.

The previous prime is 52471141603. The next prime is 52471141691. The reversal of 52471141632 is 23614117425.

52471141632 is a `hidden beast` number, since 5 + 2 + 4 + 7 + 1 + 14 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×52471141632³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1692617457 + ... + 1692617487.

Almost surely, 2^52471141632 is an apocalyptic number.

52471141632 is a gapful number since it is divisible by the number (52) 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 52471141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104566984704).

52471141632 is an abundant number, since it is smaller than the sum of its proper divisors (156662827776).

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

52471141632 is a wasteful number, since it uses less digits than its factorization.

52471141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 52471141632 in words is "fifty-two billion, four hundred seventy-one million, one hundred forty-one thousand, six hundred thirty-two".