46501327334000 has 320 divisors, whose sum is σ = 145019182464000. Its totient is φ = 13994128512000.

The previous prime is 46501327333997. The next prime is 46501327334027. The reversal of 46501327334000 is 43372310564.

46501327334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740150 + ... + 9672149.

It is an arithmetic number, because the mean of its divisors is an integer number (453184945200).

Almost surely, 2^{46501327334000} is an apocalyptic number.

46501327334000 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 46501327334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72509591232000).

46501327334000 is an abundant number, since it is smaller than the sum of its proper divisors (98517855130000).

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

46501327334000 is a wasteful number, since it uses less digits than its factorization.

46501327334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412369 (or 10412353 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

Adding to 46501327334000 its reverse (43372310564), we get a palindrome (46544699644564).

The spelling of 46501327334000 in words is "forty-six trillion, five hundred one billion, three hundred twenty-seven million, three hundred thirty-four thousand".