46863360000 has 700 divisors, whose sum is σ = 176495926662. Its totient is φ = 12386304000.

The previous prime is 46863359987. The next prime is 46863360013. The reversal of 46863360000 is 6336864.

46863360000 is a `hidden beast` number, since 46 + 8 + 6 + 3 + 3 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46863359987) and next prime (46863360013).

It can be written as a sum of positive squares in 5 ways, for example, as 2176782336 + 44686577664 = 46656^2 + 211392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 414719944 + ... + 414720056.

Almost surely, 2^46863360000 is an apocalyptic number.

46863360000 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 46863360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88247963331).

46863360000 is an abundant number, since it is smaller than the sum of its proper divisors (129632566662).

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

46863360000 is an frugal number, since it uses more digits than its factorization.

46863360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 46863360000 its reverse (6336864), we get a palindrome (46869696864).

The spelling of 46863360000 in words is "forty-six billion, eight hundred sixty-three million, three hundred sixty thousand".