63041166400 has 63 divisors (see below), whose sum is σ = 155145386559. Its totient is φ = 25212449280.

The previous prime is 63041166389. The next prime is 63041166431. The reversal of 63041166400 is 466114036.

The square root of 63041166400 is 251080.

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

63041166400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14062165056 + 48979001344 = 118584^2 + 221312^2 .

It is a super-2 number, since 2×63041166400² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10040062 + ... + 10046338.

Almost surely, 2^63041166400 is an apocalyptic number.

63041166400 is the 251080-th square number.

It is an amenable number.

63041166400 is an abundant number, since it is smaller than the sum of its proper divisors (92104220159).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63041166400 is an frugal number, since it uses more digits than its factorization.

63041166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12576 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

It can be divided in two parts, 63041 and 166400, that added together give a square (229441 = 479²).

The spelling of 63041166400 in words is "sixty-three billion, forty-one million, one hundred sixty-six thousand, four hundred".