4800914712864 has 384 divisors, whose sum is σ = 14629104322560. Its totient is φ = 1530018201600.

The previous prime is 4800914712827. The next prime is 4800914712941. The reversal of 4800914712864 is 4682174190084.

4800914712864 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 91 + 471 + 2 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4800914712864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1904367924 + ... + 1904370444.

It is an arithmetic number, because the mean of its divisors is an integer number (38096625840).

Almost surely, 2^{4800914712864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800914712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314552161280).

4800914712864 is an abundant number, since it is smaller than the sum of its proper divisors (9828189609696).

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

4800914712864 is a wasteful number, since it uses less digits than its factorization.

4800914712864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4800914712864 in words is "four trillion, eight hundred billion, nine hundred fourteen million, seven hundred twelve thousand, eight hundred sixty-four".