5463466434900 has 720 divisors, whose sum is σ = 18591307080192. Its totient is φ = 1386429696000.

The previous prime is 5463466434863. The next prime is 5463466434901. The reversal of 5463466434900 is 94346643645.

5463466434900 is a `hidden beast` number, since 5 + 4 + 63 + 4 + 66 + 434 + 90 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5463466434901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8444306377 + ... + 8444307023.

Almost surely, 2^{5463466434900} is an apocalyptic number.

5463466434900 is a gapful number since it is divisible by the number (50) 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 5463466434900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295653540096).

5463466434900 is an abundant number, since it is smaller than the sum of its proper divisors (13127840645292).

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

5463466434900 is a wasteful number, since it uses less digits than its factorization.

5463466434900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 5463466434900 in words is "five trillion, four hundred sixty-three billion, four hundred sixty-six million, four hundred thirty-four thousand, nine hundred".