671383162944 has 560 divisors, whose sum is σ = 2312384115888. Its totient is φ = 190742003712.

The previous prime is 671383162943. The next prime is 671383162981. The reversal of 671383162944 is 449261383176.

671383162944 is a `hidden beast` number, since 6 + 7 + 1 + 3 + 8 + 3 + 1 + 629 + 4 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6975590400 + 664407572544 = 83520^2 + 815112^2 .

It is a super-4 number, since 4×671383162944⁴ (a number of 48 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (671383162943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60714664 + ... + 60725720.

Almost surely, 2^671383162944 is an apocalyptic number.

671383162944 is a gapful number since it is divisible by the number (64) 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 671383162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156192057944).

671383162944 is an abundant number, since it is smaller than the sum of its proper divisors (1641000952944).

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

671383162944 is a wasteful number, since it uses less digits than its factorization.

671383162944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 11145 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 671383162944 in words is "six hundred seventy-one billion, three hundred eighty-three million, one hundred sixty-two thousand, nine hundred forty-four".