14536634112 has 864 divisors, whose sum is σ = 58459054080. Its totient is φ = 3467059200.

The previous prime is 14536634083. The next prime is 14536634129. The reversal of 14536634112 is 21143663541.

14536634112 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 6 + 634 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×14536634112² (a number of 21 digits) contains 22 as substring.

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

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, 76107937 + ... + 76108127.

Almost surely, 2^14536634112 is an apocalyptic number.

14536634112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14536634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29229527040).

14536634112 is an abundant number, since it is smaller than the sum of its proper divisors (43922419968).

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

14536634112 is a wasteful number, since it uses less digits than its factorization.

14536634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

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

The spelling of 14536634112 in words is "fourteen billion, five hundred thirty-six million, six hundred thirty-four thousand, one hundred twelve".