63427918801 has 9 divisors (see below), whose sum is σ = 68685848049. Its totient is φ = 58545825936.

The previous prime is 63427918787. The next prime is 63427918847. The reversal of 63427918801 is 10881972436.

The square root of 63427918801 is 251849.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20793928401 + 42633990400 = 144201^2 + 206480^2 .

It is not a de Polignac number, because 63427918801 - 2²³ = 63419530193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (63427918201) 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 8 ways as a sum of consecutive naturals, for example, 3264351 + ... + 3283723.

Almost surely, 2^63427918801 is an apocalyptic number.

63427918801 is the 251849-th square number.

63427918801 is the 125925-th centered octagonal number.

It is an amenable number.

63427918801 is a deficient number, since it is larger than the sum of its proper divisors (5257929248).

63427918801 is an frugal number, since it uses more digits than its factorization.

63427918801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38772 (or 19386 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 63427918801 by its sum of digits (49), we get a square (3107968021249 = 1762943²).

The spelling of 63427918801 in words is "sixty-three billion, four hundred twenty-seven million, nine hundred eighteen thousand, eight hundred one".