1167357075641 has 16 divisors (see below), whose sum is σ = 1253265655824. Its totient is φ = 1083371526144.

The previous prime is 1167357075637. The next prime is 1167357075671. The reversal of 1167357075641 is 1465707537611.

It can be written as a sum of positive squares in 8 ways, for example, as 11723475625 + 1155633600016 = 108275^2 + 1075004^2 .

It is not a de Polignac number, because 1167357075641 - 2² = 1167357075637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1167357075671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5015255 + ... + 5242851.

It is an arithmetic number, because the mean of its divisors is an integer number (78329103489).

Almost surely, 2^{1167357075641} is an apocalyptic number.

It is an amenable number.

1167357075641 is a deficient number, since it is larger than the sum of its proper divisors (85908580183).

1167357075641 is a wasteful number, since it uses less digits than its factorization.

1167357075641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231820.

The product of its (nonzero) digits is 3704400, while the sum is 53.

The spelling of 1167357075641 in words is "one trillion, one hundred sixty-seven billion, three hundred fifty-seven million, seventy-five thousand, six hundred forty-one".