4855134816000 has 2880 divisors, whose sum is σ = 21729688780800. Its totient is φ = 1075402137600.

The previous prime is 4855134815983. The next prime is 4855134816089. The reversal of 4855134816000 is 6184315584.

4855134816000 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 1 + 34 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38229407937 + ... + 38229408063.

Almost surely, 2^{4855134816000} is an apocalyptic number.

4855134816000 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 4855134816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864844390400).

4855134816000 is an abundant number, since it is smaller than the sum of its proper divisors (16874553964800).

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

4855134816000 is an equidigital number, since it uses as much as digits as its factorization.

4855134816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 4855134816000 in words is "four trillion, eight hundred fifty-five billion, one hundred thirty-four million, eight hundred sixteen thousand".