47682545025024 has 3072 divisors, whose sum is σ = 191950651872000. Its totient is φ = 11557907988480.

The previous prime is 47682545025023. The next prime is 47682545025047. The reversal of 47682545025024 is 42052054528674.

47682545025024 is a `hidden beast` number, since 4 + 7 + 6 + 82 + 5 + 4 + 50 + 2 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×47682545025024³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47682545025023) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 653185548252 + ... + 653185548324.

Almost surely, 2^{47682545025024} 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 47682545025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95975325936000).

47682545025024 is an abundant number, since it is smaller than the sum of its proper divisors (144268106846976).

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

47682545025024 is a wasteful number, since it uses less digits than its factorization.

47682545025024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 47682545025024 in words is "forty-seven trillion, six hundred eighty-two billion, five hundred forty-five million, twenty-five thousand, twenty-four".