1145313918360 has 192 divisors, whose sum is σ = 3884953363200. Its totient is φ = 292074469632.

The previous prime is 1145313918257. The next prime is 1145313918389. The reversal of 1145313918360 is 638193135411.

1145313918360 is a `hidden beast` number, since 1 + 1 + 4 + 531 + 39 + 1 + 83 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 46844299 + ... + 46868741.

It is an arithmetic number, because the mean of its divisors is an integer number (20234132100).

Almost surely, 2^{1145313918360} is an apocalyptic number.

1145313918360 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 1145313918360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942476681600).

1145313918360 is an abundant number, since it is smaller than the sum of its proper divisors (2739639444840).

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

1145313918360 is a wasteful number, since it uses less digits than its factorization.

1145313918360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30142 (or 30135 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1145313918360 in words is "one trillion, one hundred forty-five billion, three hundred thirteen million, nine hundred eighteen thousand, three hundred sixty".