4616352000000 has 1680 divisors, whose sum is σ = 18696954816540. Its totient is φ = 1128038400000.

The previous prime is 4616351999981. The next prime is 4616352000019. The reversal of 4616352000000 is 2536164.

4616352000000 is a `hidden beast` number, since 4 + 6 + 1 + 635 + 20 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4616351999981) and next prime (4616352000019).

It can be written as a sum of positive squares in 14 ways, for example, as 4418874860544 + 197477139456 = 2102112^2 + 444384^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 139 ways as a sum of consecutive naturals, for example, 33695999932 + ... + 33696000068.

Almost surely, 2^{4616352000000} is an apocalyptic number.

4616352000000 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 4616352000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9348477408270).

4616352000000 is an abundant number, since it is smaller than the sum of its proper divisors (14080602816540).

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

4616352000000 is an frugal number, since it uses more digits than its factorization.

4616352000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 4616352000000 its reverse (2536164), we get a palindrome (4616354536164).

The spelling of 4616352000000 in words is "four trillion, six hundred sixteen billion, three hundred fifty-two million", and thus it is an aban number.