4855113600 has 192 divisors, whose sum is σ = 16038675840. Its totient is φ = 1290885120.

The previous prime is 4855113581. The next prime is 4855113611. The reversal of 4855113600 is 63115584.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4855113600³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5020317 + ... + 5021283.

It is an arithmetic number, because the mean of its divisors is an integer number (83534770).

Almost surely, 2^4855113600 is an apocalyptic number.

4855113600 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 4855113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019337920).

4855113600 is an abundant number, since it is smaller than the sum of its proper divisors (11183562240).

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

4855113600 is a wasteful number, since it uses less digits than its factorization.

4855113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 4855113600 is about 69678.6452221913. The cubic root of 4855113600 is about 1693.2969729243.

The spelling of 4855113600 in words is "four billion, eight hundred fifty-five million, one hundred thirteen thousand, six hundred".