188138284755201 has 63 divisors (see below), whose sum is σ = 310059818468337. Its totient is φ = 114020733938760.

The previous prime is 188138284755181. The next prime is 188138284755221. The reversal of 188138284755201 is 102557482831881.

It is a happy number.

The square root of 188138284755201 is 13716351.

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

188138284755201 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 38 + 2 + 8 + 4 + 75 + 520 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (188138284755181) and next prime (188138284755221).

It is a de Polignac number, because none of the positive numbers 2^k-188138284755201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (188138284755221) 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, 4073733156 + ... + 4073779338.

Almost surely, 2^{188138284755201} is an apocalyptic number.

188138284755201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

188138284755201 is the 13716351-st square number.

188138284755201 is the 6858176-th centered octagonal number.

It is an amenable number.

188138284755201 is a deficient number, since it is larger than the sum of its proper divisors (121921533713136).

188138284755201 is an frugal number, since it uses more digits than its factorization.

188138284755201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92406 (or 46197 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 188138284755201 in words is "one hundred eighty-eight trillion, one hundred thirty-eight billion, two hundred eighty-four million, seven hundred fifty-five thousand, two hundred one".