46368000000 has 1008 divisors, whose sum is σ = 199628694720. Its totient is φ = 10137600000.

The previous prime is 46367999999. The next prime is 46368000017. The reversal of 46368000000 is 86364.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2015999989 + ... + 2016000011.

It is an arithmetic number, because the mean of its divisors is an integer number (198044340).

Almost surely, 2^46368000000 is an apocalyptic number.

46368000000 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 46368000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99814347360).

46368000000 is an abundant number, since it is smaller than the sum of its proper divisors (153260694720).

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

46368000000 is an frugal number, since it uses more digits than its factorization.

46368000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 46368000000 its reverse (86364), we get a palindrome (46368086364).

The spelling of 46368000000 in words is "forty-six billion, three hundred sixty-eight million", and thus it is an aban number.