165400072461 has 12 divisors (see below), whose sum is σ = 257289001788. Its totient is φ = 101784659904.

The previous prime is 165400072451. The next prime is 165400072471. The reversal of 165400072461 is 164270004561.

165400072461 is a `hidden beast` number, since 1 + 6 + 5 + 400 + 0 + 7 + 246 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (165400072451) and next prime (165400072471).

It can be written as a sum of positive squares in 2 ways, for example, as 106736810436 + 58663262025 = 326706^2 + 242205^2 .

It is not a de Polignac number, because 165400072461 - 2¹¹ = 165400070413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165400072421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706837800 + ... + 706838033.

It is an arithmetic number, because the mean of its divisors is an integer number (21440750149).

Almost surely, 2^165400072461 is an apocalyptic number.

It is an amenable number.

165400072461 is a deficient number, since it is larger than the sum of its proper divisors (91888929327).

165400072461 is a wasteful number, since it uses less digits than its factorization.

165400072461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413675852 (or 1413675849 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 165400072461 in words is "one hundred sixty-five billion, four hundred million, seventy-two thousand, four hundred sixty-one".