1130403205368 has 320 divisors, whose sum is σ = 3367661003520. Its totient is φ = 353727129600.

The previous prime is 1130403205339. The next prime is 1130403205369. The reversal of 1130403205368 is 8635023040311.

1130403205368 is a `hidden beast` number, since 1 + 13 + 0 + 403 + 205 + 36 + 8 = 666.

It is a super-3 number, since 3×1130403205368³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130403205369) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89445546 + ... + 89458182.

It is an arithmetic number, because the mean of its divisors is an integer number (10523940636).

Almost surely, 2^{1130403205368} is an apocalyptic number.

1130403205368 is a gapful number since it is divisible by the number (18) 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 1130403205368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683830501760).

1130403205368 is an abundant number, since it is smaller than the sum of its proper divisors (2237257798152).

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

1130403205368 is a wasteful number, since it uses less digits than its factorization.

1130403205368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12820 (or 12807 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 1130403205368 its reverse (8635023040311), we get a palindrome (9765426245679).

The spelling of 1130403205368 in words is "one trillion, one hundred thirty billion, four hundred three million, two hundred five thousand, three hundred sixty-eight".