4851676448000 has 288 divisors, whose sum is σ = 12778653363840. Its totient is φ = 1830378700800.

The previous prime is 4851676447973. The next prime is 4851676448039. The reversal of 4851676448000 is 8446761584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137998424 + ... + 138033576.

It is an arithmetic number, because the mean of its divisors is an integer number (44370324180).

Almost surely, 2^{4851676448000} is an apocalyptic number.

4851676448000 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 4851676448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389326681920).

4851676448000 is an abundant number, since it is smaller than the sum of its proper divisors (7926976915840).

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

4851676448000 is a wasteful number, since it uses less digits than its factorization.

4851676448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35430 (or 35406 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 4851676448000 in words is "four trillion, eight hundred fifty-one billion, six hundred seventy-six million, four hundred forty-eight thousand".