1145326628880 has 720 divisors, whose sum is σ = 4704090168960. Its totient is φ = 244573765632.

The previous prime is 1145326628857. The next prime is 1145326628881. The reversal of 1145326628880 is 888266235411.

1145326628880 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 2 + 6 + 628 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (1145326628881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202459012 + ... + 202464668.

It is an arithmetic number, because the mean of its divisors is an integer number (6533458568).

Almost surely, 2^{1145326628880} is an apocalyptic number.

1145326628880 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 1145326628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352045084480).

1145326628880 is an abundant number, since it is smaller than the sum of its proper divisors (3558763540080).

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

1145326628880 is a wasteful number, since it uses less digits than its factorization.

1145326628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1145326628880 in words is "one trillion, one hundred forty-five billion, three hundred twenty-six million, six hundred twenty-eight thousand, eight hundred eighty".