46086478848000 has 1792 divisors, whose sum is σ = 186310348922880. Its totient is φ = 11190140928000.

The previous prime is 46086478847993. The next prime is 46086478848097. The reversal of 46086478848000 is 84887468064.

46086478848000 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 6 + 478 + 84 + 80 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 14570494419 + ... + 14570497581.

It is an arithmetic number, because the mean of its divisors is an integer number (103967828640).

Almost surely, 2^{46086478848000} is an apocalyptic number.

46086478848000 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 46086478848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93155174461440).

46086478848000 is an abundant number, since it is smaller than the sum of its proper divisors (140223870074880).

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

46086478848000 is a wasteful number, since it uses less digits than its factorization.

46086478848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 46086478848000 in words is "forty-six trillion, eighty-six billion, four hundred seventy-eight million, eight hundred forty-eight thousand".