63114400 has 36 divisors (see below), whose sum is σ = 154079982. Its totient is φ = 25245440.

The previous prime is 63114397. The next prime is 63114433. The reversal of 63114400 is 441136.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43507216 + 19607184 = 6596^2 + 4428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38647 + ... + 40246.

Almost surely, 2^63114400 is an apocalyptic number.

It is an amenable number.

63114400 is an abundant number, since it is smaller than the sum of its proper divisors (90965582).

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

63114400 is a wasteful number, since it uses less digits than its factorization.

63114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78913 (or 78900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 63114400 is about 7944.4571872470. The cubic root of 63114400 is about 398.1464239067.

Adding to 63114400 its reverse (441136), we get a palindrome (63555536).

The spelling of 63114400 in words is "sixty-three million, one hundred fourteen thousand, four hundred".