1162541116944 has 135 divisors (see below), whose sum is σ = 3434476079853. Its totient is φ = 367040616192.

The previous prime is 1162541116931. The next prime is 1162541116951. The reversal of 1162541116944 is 4496111452611.

The square root of 1162541116944 is 1078212.

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

1162541116944 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 541 + 1 + 1 + 69 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23966755344 + 1138574361600 = 154812^2 + 1067040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1162541116944.

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 26 ways as a sum of consecutive naturals, for example, 245829972 + ... + 245834700.

Almost surely, 2^{1162541116944} is an apocalyptic number.

1162541116944 is the 1078212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1162541116944

1162541116944 is an abundant number, since it is smaller than the sum of its proper divisors (2271934962909).

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

1162541116944 is an frugal number, since it uses more digits than its factorization.

1162541116944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 4753 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 1162541116944 in words is "one trillion, one hundred sixty-two billion, five hundred forty-one million, one hundred sixteen thousand, nine hundred forty-four".