63818380129 has 27 divisors (see below), whose sum is σ = 75046600881. Its totient is φ = 54111846600.

The previous prime is 63818380123. The next prime is 63818380141. The reversal of 63818380129 is 92108381836.

The square root of 63818380129 is 252623.

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

It is not a de Polignac number, because 63818380129 - 2¹¹ = 63818378081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (63818380123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 267022392 + ... + 267022630.

Almost surely, 2^63818380129 is an apocalyptic number.

63818380129 is the 252623-rd square number.

63818380129 is the 126312-nd centered octagonal number.

It is an amenable number.

63818380129 is a deficient number, since it is larger than the sum of its proper divisors (11228220752).

63818380129 is an frugal number, since it uses more digits than its factorization.

63818380129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 63818380129 by its sum of digits (49), we get a square (3127100626321 = 1768361²).

63818380129 divided by its sum of digits (49) gives a square (1302415921 = 36089²).

The spelling of 63818380129 in words is "sixty-three billion, eight hundred eighteen million, three hundred eighty thousand, one hundred twenty-nine".