4868115033600 has 3240 divisors, whose sum is σ = 22844814735600. Its totient is φ = 1027118776320.

The previous prime is 4868115033541. The next prime is 4868115033619. The reversal of 4868115033600 is 63305118684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4868115033600 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 1 + 1 + 5 + 0 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 374470387194 + ... + 374470387206.

Almost surely, 2^{4868115033600} is an apocalyptic number.

4868115033600 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 4868115033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11422407367800).

4868115033600 is an abundant number, since it is smaller than the sum of its proper divisors (17976699702000).

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

4868115033600 is an frugal number, since it uses more digits than its factorization.

4868115033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4868115033600 in words is "four trillion, eight hundred sixty-eight billion, one hundred fifteen million, thirty-three thousand, six hundred".