1128966189624 has 192 divisors, whose sum is σ = 3763837022400. Its totient is φ = 297700558848.

The previous prime is 1128966189623. The next prime is 1128966189647. The reversal of 1128966189624 is 4269816698211.

1128966189624 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 9 + 6 + 618 + 9 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×1128966189624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128966189623) 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 47 ways as a sum of consecutive naturals, for example, 58519372 + ... + 58538660.

It is an arithmetic number, because the mean of its divisors is an integer number (19603317825).

Almost surely, 2^{1128966189624} is an apocalyptic number.

1128966189624 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 1128966189624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881918511200).

1128966189624 is an abundant number, since it is smaller than the sum of its proper divisors (2634870832776).

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

1128966189624 is a wasteful number, since it uses less digits than its factorization.

1128966189624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28254 (or 28247 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 1128966189624 in words is "one trillion, one hundred twenty-eight billion, nine hundred sixty-six million, one hundred eighty-nine thousand, six hundred twenty-four".