1165435312401 has 24 divisors (see below), whose sum is σ = 1715784131880. Its totient is φ = 762023897856.

The previous prime is 1165435312343. The next prime is 1165435312429. The reversal of 1165435312401 is 1042135345611.

1165435312401 is a `hidden beast` number, since 1 + 1 + 65 + 4 + 353 + 1 + 240 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 167464282176 + 997971030225 = 409224^2 + 998985^2 .

It is not a de Polignac number, because 1165435312401 - 2⁹ = 1165435311889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1165435312471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897405 + ... + 1770933.

It is an arithmetic number, because the mean of its divisors is an integer number (71491005495).

Almost surely, 2^{1165435312401} is an apocalyptic number.

It is an amenable number.

1165435312401 is a deficient number, since it is larger than the sum of its proper divisors (550348819479).

1165435312401 is a wasteful number, since it uses less digits than its factorization.

1165435312401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876385 (or 876382 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1165435312401 in words is "one trillion, one hundred sixty-five billion, four hundred thirty-five million, three hundred twelve thousand, four hundred one".