4863513600000 has 2016 divisors, whose sum is σ = 20364813443520. Its totient is φ = 1105920000000.

The previous prime is 4863513599977. The next prime is 4863513600013. The reversal of 4863513600000 is 63153684.

4863513600000 is a `hidden beast` number, since 4 + 8 + 6 + 35 + 13 + 600 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48153599950 + ... + 48153600050.

It is an arithmetic number, because the mean of its divisors is an integer number (10101593970).

Almost surely, 2^{4863513600000} is an apocalyptic number.

4863513600000 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 4863513600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10182406721760).

4863513600000 is an abundant number, since it is smaller than the sum of its proper divisors (15501299843520).

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

4863513600000 is a wasteful number, since it uses less digits than its factorization.

4863513600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 4863513600000 its reverse (63153684), we get a palindrome (4863576753684).

The spelling of 4863513600000 in words is "four trillion, eight hundred sixty-three billion, five hundred thirteen million, six hundred thousand".