46414324000 has 192 divisors, whose sum is σ = 125318793600. Its totient is φ = 16754304000.

The previous prime is 46414323971. The next prime is 46414324013. The reversal of 46414324000 is 42341464.

It is a self number, because there is not a number n which added to its sum of digits gives 46414324000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6112206 + ... + 6119794.

It is an arithmetic number, because the mean of its divisors is an integer number (652702050).

Almost surely, 2^46414324000 is an apocalyptic number.

46414324000 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 46414324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62659396800).

46414324000 is an abundant number, since it is smaller than the sum of its proper divisors (78904469600).

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

46414324000 is a wasteful number, since it uses less digits than its factorization.

46414324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 46414324000 its reverse (42341464), we get a palindrome (46456665464).

The spelling of 46414324000 in words is "forty-six billion, four hundred fourteen million, three hundred twenty-four thousand".