142618767201 has 63 divisors (see below), whose sum is σ = 217990970563. Its totient is φ = 93264197040.

The previous prime is 142618767169. The next prime is 142618767209. The reversal of 142618767201 is 102767816241.

The square root of 142618767201 is 377649.

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

142618767201 is a `hidden beast` number, since 1 + 4 + 2 + 618 + 7 + 6 + 7 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139737654225 + 2881112976 = 373815^2 + 53676^2 .

It is not a de Polignac number, because 142618767201 - 2⁵ = 142618767169 is a prime.

It is a super-2 number, since 2×142618767201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142618767209) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 723953035 + ... + 723953231.

Almost surely, 2^142618767201 is an apocalyptic number.

142618767201 is the 377649-th square number.

142618767201 is the 188825-th centered octagonal number.

It is an amenable number.

142618767201 is a deficient number, since it is larger than the sum of its proper divisors (75372203362).

142618767201 is an frugal number, since it uses more digits than its factorization.

142618767201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 142618767201 in words is "one hundred forty-two billion, six hundred eighteen million, seven hundred sixty-seven thousand, two hundred one".