1145713344400 has 135 divisors (see below), whose sum is σ = 2783730471123. Its totient is φ = 453156076800.

The previous prime is 1145713344397. The next prime is 1145713344401. The reversal of 1145713344400 is 44433175411.

The square root of 1145713344400 is 1070380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4200595344 + 1141512749056 = 64812^2 + 1068416^2 .

It is a super-2 number, since 2×1145713344400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1145713344400.

It is not an unprimeable number, because it can be changed into a prime (1145713344401) 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 26 ways as a sum of consecutive naturals, for example, 2333428155 + ... + 2333428645.

Almost surely, 2^{1145713344400} is an apocalyptic number.

1145713344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1145713344400 is the 1070380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145713344400

1145713344400 is an abundant number, since it is smaller than the sum of its proper divisors (1638017126723).

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

1145713344400 is an frugal number, since it uses more digits than its factorization.

1145713344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 1145713344400 in words is "one trillion, one hundred forty-five billion, seven hundred thirteen million, three hundred forty-four thousand, four hundred".