1185730545168 has 180 divisors, whose sum is σ = 3596395649652. Its totient is φ = 364525424640.

The previous prime is 1185730545119. The next prime is 1185730545169. The reversal of 1185730545168 is 8615450375811.

1185730545168 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 7 + 30 + 545 + 1 + 68 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21506809104 + 1164223736064 = 146652^2 + 1078992^2 .

It is not an unprimeable number, because it can be changed into a prime (1185730545169) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29012428 + ... + 29053268.

Almost surely, 2^{1185730545168} is an apocalyptic number.

1185730545168 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 1185730545168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798197824826).

1185730545168 is an abundant number, since it is smaller than the sum of its proper divisors (2410665104484).

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

1185730545168 is a wasteful number, since it uses less digits than its factorization.

1185730545168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42074 (or 42052 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 1185730545168 in words is "one trillion, one hundred eighty-five billion, seven hundred thirty million, five hundred forty-five thousand, one hundred sixty-eight".