5731668489456 has 1600 divisors, whose sum is σ = 22079876797440. Its totient is φ = 1392782376960.

The previous prime is 5731668489451. The next prime is 5731668489511. The reversal of 5731668489456 is 6549848661375.

5731668489456 is a `hidden beast` number, since 5 + 7 + 3 + 16 + 6 + 84 + 89 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5731668489451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 36507442530 + ... + 36507442686.

Almost surely, 2^{5731668489456} is an apocalyptic number.

5731668489456 is a gapful number since it is divisible by the number (56) 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 5731668489456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039938398720).

5731668489456 is an abundant number, since it is smaller than the sum of its proper divisors (16348208307984).

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

5731668489456 is a wasteful number, since it uses less digits than its factorization.

5731668489456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 5731668489456 in words is "five trillion, seven hundred thirty-one billion, six hundred sixty-eight million, four hundred eighty-nine thousand, four hundred fifty-six".