63134914752 has 504 divisors, whose sum is σ = 235136503056. Its totient is φ = 16648353792.

The previous prime is 63134914747. The next prime is 63134914757. The reversal of 63134914752 is 25741943136.

63134914752 is a `hidden beast` number, since 63 + 1 + 34 + 91 + 475 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (63134914747) and next prime (63134914757).

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 63134914698 and 63134914707.

It is not an unprimeable number, because it can be changed into a prime (63134914757) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9903438 + ... + 9909810.

Almost surely, 2^63134914752 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 63134914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117568251528).

63134914752 is an abundant number, since it is smaller than the sum of its proper divisors (172001588304).

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

63134914752 is a wasteful number, since it uses less digits than its factorization.

63134914752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6398 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 63134914752 in words is "sixty-three billion, one hundred thirty-four million, nine hundred fourteen thousand, seven hundred fifty-two".