1080457349968 has 160 divisors (see below), whose sum is σ = 2301655720320. Its totient is φ = 489402777600.

The previous prime is 1080457349941. The next prime is 1080457349969. The reversal of 1080457349968 is 8699437540801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080457349969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145004643 + ... + 145012093.

It is an arithmetic number, because the mean of its divisors is an integer number (14385348252).

Almost surely, 2^{1080457349968} 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 1080457349968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150827860160).

1080457349968 is an abundant number, since it is smaller than the sum of its proper divisors (1221198370352).

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

1080457349968 is a wasteful number, since it uses less digits than its factorization.

1080457349968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 1080457349968 in words is "one trillion, eighty billion, four hundred fifty-seven million, three hundred forty-nine thousand, nine hundred sixty-eight".