168140182401 has 21 divisors (see below), whose sum is σ = 252111551601. Its totient is φ = 112086074052.

The previous prime is 168140182373. The next prime is 168140182403. The reversal of 168140182401 is 104281041861.

The square root of 168140182401 is 410049.

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

168140182401 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 401 + 8 + 240 + 1 = 666.

It is not a de Polignac number, because 168140182401 - 2⁵ = 168140182369 is a prime.

It is a super-2 number, since 2×168140182401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168140182403) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 11063730 + ... + 11078916.

It is an arithmetic number, because the mean of its divisors is an integer number (12005311981).

Almost surely, 2^168140182401 is an apocalyptic number.

168140182401 is the 410049-th square number.

168140182401 is the 205025-th centered octagonal number.

It is an amenable number.

168140182401 is a deficient number, since it is larger than the sum of its proper divisors (83971369200).

168140182401 is an frugal number, since it uses more digits than its factorization.

168140182401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30392 (or 15190 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Multiplying 168140182401 by its sum of digits (36), we get a square (6053046566436 = 2460294²).

The spelling of 168140182401 in words is "one hundred sixty-eight billion, one hundred forty million, one hundred eighty-two thousand, four hundred one".