4846496054400 has 6912 divisors, whose sum is σ = 26452006963200. Its totient is φ = 817496064000.

The previous prime is 4846496054327. The next prime is 4846496054437. The reversal of 4846496054400 is 44506946484.

4846496054400 is a `hidden beast` number, since 4 + 8 + 4 + 6 + 4 + 96 + 0 + 544 + 0 + 0 = 666.

It is a congruent number.

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 863 ways as a sum of consecutive naturals, for example, 156338582385 + ... + 156338582415.

It is an arithmetic number, because the mean of its divisors is an integer number (3826968600).

Almost surely, 2^{4846496054400} is an apocalyptic number.

4846496054400 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 4846496054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226003481600).

4846496054400 is an abundant number, since it is smaller than the sum of its proper divisors (21605510908800).

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

4846496054400 is a wasteful number, since it uses less digits than its factorization.

4846496054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 4846496054400 in words is "four trillion, eight hundred forty-six billion, four hundred ninety-six million, fifty-four thousand, four hundred".