1145975456080 has 640 divisors, whose sum is σ = 3430130457600. Its totient is φ = 346462617600.

The previous prime is 1145975456047. The next prime is 1145975456117. The reversal of 1145975456080 is 806545795411.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4755084760 + ... + 4755085000.

It is an arithmetic number, because the mean of its divisors is an integer number (5359578840).

Almost surely, 2^{1145975456080} is an apocalyptic number.

1145975456080 is a gapful number since it is divisible by the number (10) 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 1145975456080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715065228800).

1145975456080 is an abundant number, since it is smaller than the sum of its proper divisors (2284155001520).

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

1145975456080 is a wasteful number, since it uses less digits than its factorization.

1145975456080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 55.

The spelling of 1145975456080 in words is "one trillion, one hundred forty-five billion, nine hundred seventy-five million, four hundred fifty-six thousand, eighty".