14358180629961 has 135 divisors (see below), whose sum is σ = 24499837187189. Its totient is φ = 8102502144576.

The previous prime is 14358180629939. The next prime is 14358180629977. The reversal of 14358180629961 is 16992608185341.

The square root of 14358180629961 is 3789219.

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

14358180629961 is a `hidden beast` number, since 1 + 4 + 358 + 1 + 80 + 62 + 99 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27837254025 + 14330343375936 = 166845^2 + 3785544^2 .

It is a de Polignac number, because none of the positive numbers 2^k-14358180629961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (14358180629981) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 82995263671 + ... + 82995263843.

Almost surely, 2^{14358180629961} is an apocalyptic number.

14358180629961 is the 3789219-th square number.

14358180629961 is the 1894610-th centered octagonal number.

It is an amenable number.

14358180629961 is a deficient number, since it is larger than the sum of its proper divisors (10141656557228).

14358180629961 is an frugal number, since it uses more digits than its factorization.

14358180629961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 14358180629961 in words is "fourteen trillion, three hundred fifty-eight billion, one hundred eighty million, six hundred twenty-nine thousand, nine hundred sixty-one".