63362454961 has 45 divisors (see below), whose sum is σ = 74003870871. Its totient is φ = 54226313856.

The previous prime is 63362454949. The next prime is 63362454979. The reversal of 63362454961 is 16945426336.

The square root of 63362454961 is 251719.

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

It can be written as a sum of positive squares in 7 ways, for example, as 19327950625 + 44034504336 = 139025^2 + 209844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-63362454961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63362454161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 945708250 + ... + 945708316.

Almost surely, 2^63362454961 is an apocalyptic number.

63362454961 is the 251719-th square number.

63362454961 is the 125860-th centered octagonal number.

It is an amenable number.

63362454961 is a deficient number, since it is larger than the sum of its proper divisors (10641415910).

63362454961 is an frugal number, since it uses more digits than its factorization.

63362454961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 97 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 49.

Multiplying 63362454961 by its sum of digits (49), we get a square (3104760293089 = 1762033²).

The spelling of 63362454961 in words is "sixty-three billion, three hundred sixty-two million, four hundred fifty-four thousand, nine hundred sixty-one".