5466188714112 has 768 divisors, whose sum is σ = 19521159840000. Its totient is φ = 1474849161216.

The previous prime is 5466188714071. The next prime is 5466188714141. The reversal of 5466188714112 is 2114178816645.

5466188714112 is a `hidden beast` number, since 5 + 4 + 6 + 618 + 8 + 7 + 1 + 4 + 1 + 12 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3397257564 + ... + 3397259172.

It is an arithmetic number, because the mean of its divisors is an integer number (25418176875).

Almost surely, 2^{5466188714112} 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 5466188714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760579920000).

5466188714112 is an abundant number, since it is smaller than the sum of its proper divisors (14054971125888).

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

5466188714112 is a wasteful number, since it uses less digits than its factorization.

5466188714112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2029 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 5466188714112 in words is "five trillion, four hundred sixty-six billion, one hundred eighty-eight million, seven hundred fourteen thousand, one hundred twelve".