5654186131968 has 640 divisors, whose sum is σ = 18476240302080. Its totient is φ = 1707161702400.

The previous prime is 5654186131967. The next prime is 5654186131981. The reversal of 5654186131968 is 8691316814565.

5654186131968 is a `hidden beast` number, since 5 + 6 + 5 + 4 + 1 + 8 + 613 + 1 + 9 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5654186131963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8960675013 + ... + 8960675643.

It is an arithmetic number, because the mean of its divisors is an integer number (28869125472).

Almost surely, 2^{5654186131968} 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 5654186131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9238120151040).

5654186131968 is an abundant number, since it is smaller than the sum of its proper divisors (12822054170112).

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

5654186131968 is an equidigital number, since it uses as much as digits as its factorization.

5654186131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1134 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 5654186131968 in words is "five trillion, six hundred fifty-four billion, one hundred eighty-six million, one hundred thirty-one thousand, nine hundred sixty-eight".