4553946046800 has 480 divisors, whose sum is σ = 16656900140160. Its totient is φ = 1180992614400.

The previous prime is 4553946046799. The next prime is 4553946046813. The reversal of 4553946046800 is 86406493554.

4553946046800 is a `hidden beast` number, since 4 + 5 + 539 + 4 + 60 + 46 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×4553946046800³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140351379 + ... + 140383821.

It is an arithmetic number, because the mean of its divisors is an integer number (34701875292).

Almost surely, 2^{4553946046800} is an apocalyptic number.

4553946046800 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 4553946046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328450070080).

4553946046800 is an abundant number, since it is smaller than the sum of its proper divisors (12102954093360).

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

4553946046800 is a wasteful number, since it uses less digits than its factorization.

4553946046800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32828 (or 32811 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4553946046800 in words is "four trillion, five hundred fifty-three billion, nine hundred forty-six million, forty-six thousand, eight hundred".