1667391353472 has 1024 divisors, whose sum is σ = 5320111104000. Its totient is φ = 458664837120.

The previous prime is 1667391353471. The next prime is 1667391353477. The reversal of 1667391353472 is 2743531937661.

It is not an unprimeable number, because it can be changed into a prime (1667391353471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11995621179 + ... + 11995621317.

It is an arithmetic number, because the mean of its divisors is an integer number (5195421000).

Almost surely, 2^{1667391353472} is an apocalyptic number.

1667391353472 is a gapful number since it is divisible by the number (12) 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 1667391353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660055552000).

1667391353472 is an abundant number, since it is smaller than the sum of its proper divisors (3652719750528).

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

1667391353472 is a wasteful number, since it uses less digits than its factorization.

1667391353472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 57.

The spelling of 1667391353472 in words is "one trillion, six hundred sixty-seven billion, three hundred ninety-one million, three hundred fifty-three thousand, four hundred seventy-two".