1145291218560 has 1280 divisors, whose sum is σ = 4593430749600. Its totient is φ = 270516879360.

The previous prime is 1145291218523. The next prime is 1145291218573. The reversal of 1145291218560 is 658121925411.

1145291218560 is a `hidden beast` number, since 1 + 1 + 45 + 29 + 1 + 21 + 8 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 294484216896 + 850807001664 = 542664^2 + 922392^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1047841374 + ... + 1047842466.

Almost surely, 2^{1145291218560} is an apocalyptic number.

1145291218560 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 1145291218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296715374800).

1145291218560 is an abundant number, since it is smaller than the sum of its proper divisors (3448139531040).

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

1145291218560 is a wasteful number, since it uses less digits than its factorization.

1145291218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1145291218560 in words is "one trillion, one hundred forty-five billion, two hundred ninety-one million, two hundred eighteen thousand, five hundred sixty".