1141628302584 has 768 divisors, whose sum is σ = 4132058112000. Its totient is φ = 275826539520.

The previous prime is 1141628302567. The next prime is 1141628302589. The reversal of 1141628302584 is 4852038261411.

1141628302584 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 62 + 8 + 3 + 0 + 2 + 584 = 666.

It is a super-2 number, since 2×1141628302584² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141628302589) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1508095134 + ... + 1508095890.

It is an arithmetic number, because the mean of its divisors is an integer number (5380284000).

Almost surely, 2^{1141628302584} is an apocalyptic number.

1141628302584 is a gapful number since it is divisible by the number (14) 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 1141628302584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066029056000).

1141628302584 is an abundant number, since it is smaller than the sum of its proper divisors (2990429809416).

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

1141628302584 is a wasteful number, since it uses less digits than its factorization.

1141628302584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1141628302584 in words is "one trillion, one hundred forty-one billion, six hundred twenty-eight million, three hundred two thousand, five hundred eighty-four".