5082301141632 has 1024 divisors, whose sum is σ = 17986219776000. Its totient is φ = 1392543498240.

The previous prime is 5082301141613. The next prime is 5082301141633. The reversal of 5082301141632 is 2361411032805.

5082301141632 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 3 + 0 + 1 + 14 + 1 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5082301141633) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6457815543 + ... + 6457816329.

It is an arithmetic number, because the mean of its divisors is an integer number (17564667750).

Almost surely, 2^{5082301141632} is an apocalyptic number.

5082301141632 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 5082301141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993109888000).

5082301141632 is an abundant number, since it is smaller than the sum of its proper divisors (12903918634368).

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

5082301141632 is a wasteful number, since it uses less digits than its factorization.

5082301141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 5082301141632 in words is "five trillion, eighty-two billion, three hundred one million, one hundred forty-one thousand, six hundred thirty-two".