46582068960 has 576 divisors, whose sum is σ = 197849433600. Its totient is φ = 9737957376.

The previous prime is 46582068893. The next prime is 46582068971. The reversal of 46582068960 is 6986028564.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46582068897 and 46582068906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5549887 + ... + 5558273.

It is an arithmetic number, because the mean of its divisors is an integer number (343488600).

Almost surely, 2^46582068960 is an apocalyptic number.

46582068960 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 46582068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98924716800).

46582068960 is an abundant number, since it is smaller than the sum of its proper divisors (151267364640).

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

46582068960 is a wasteful number, since it uses less digits than its factorization.

46582068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8452 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 46582068960 in words is "forty-six billion, five hundred eighty-two million, sixty-eight thousand, nine hundred sixty".