63114641136 has 120 divisors (see below), whose sum is σ = 188599821696. Its totient is φ = 19655475840.

The previous prime is 63114641101. The next prime is 63114641153.

63114641136 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 4 + 641 + 1 + 3 + 6 = 666.

63114641136 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63114641136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79170 + ... + 364001.

Almost surely, 2^63114641136 is an apocalyptic number.

It is an amenable number.

63114641136 is an abundant number, since it is smaller than the sum of its proper divisors (125485180560).

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

63114641136 is a wasteful number, since it uses less digits than its factorization.

63114641136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443251 (or 443242 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 63114641136 in words is "sixty-three billion, one hundred fourteen million, six hundred forty-one thousand, one hundred thirty-six".