63135468 has 144 divisors (see below), whose sum is σ = 185902080. Its totient is φ = 17884800.

The previous prime is 63135463. The next prime is 63135469. The reversal of 63135468 is 86453136.

63135468 is a `hidden beast` number, since 63 + 135 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (63135463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454143 + ... + 454281.

Almost surely, 2^63135468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63135468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92951040).

63135468 is an abundant number, since it is smaller than the sum of its proper divisors (122766612).

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

63135468 is a wasteful number, since it uses less digits than its factorization.

63135468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 63135468 is about 7945.7830325274. The cubic root of 63135468 is about 398.1907202727.

It can be divided in two parts, 6313 and 5468, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 63135468 in words is "sixty-three million, one hundred thirty-five thousand, four hundred sixty-eight".