63141214136 has 384 divisors, whose sum is σ = 166282260480. Its totient is φ = 21859200000.

The previous prime is 63141214093. The next prime is 63141214159.

It is a happy number.

63141214136 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418153661 + ... + 418153811.

It is an arithmetic number, because the mean of its divisors is an integer number (433026720).

Almost surely, 2^63141214136 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 63141214136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83141130240).

63141214136 is an abundant number, since it is smaller than the sum of its proper divisors (103141046344).

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

63141214136 is a wasteful number, since it uses less digits than its factorization.

63141214136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The spelling of 63141214136 in words is "sixty-three billion, one hundred forty-one million, two hundred fourteen thousand, one hundred thirty-six".