1159606113408 has 72 divisors (see below), whose sum is σ = 3336992561955. Its totient is φ = 386523187968.

The previous prime is 1159606113373. The next prime is 1159606113487. The reversal of 1159606113408 is 8043116069511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1159606113408 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 606 + 1 + 1 + 34 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 579803056704 + 579803056704 = 761448^2 + 761448^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=761448.

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 8 ways as a sum of consecutive naturals, for example, 36533641 + ... + 36565367.

Almost surely, 2^{1159606113408} is an apocalyptic number.

1159606113408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1159606113408 is an abundant number, since it is smaller than the sum of its proper divisors (2177386448547).

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

1159606113408 is an frugal number, since it uses more digits than its factorization.

1159606113408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63474 (or 31732 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1159606113408 in words is "one trillion, one hundred fifty-nine billion, six hundred six million, one hundred thirteen thousand, four hundred eight".