14529481956 has 144 divisors (see below), whose sum is σ = 40533292800. Its totient is φ = 4351838400.

The previous prime is 14529481943. The next prime is 14529481991. The reversal of 14529481956 is 65918492541.

14529481956 is a `hidden beast` number, since 14 + 529 + 48 + 19 + 56 = 666.

It is a super-2 number, since 2×14529481956² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19660635 + ... + 19661373.

It is an arithmetic number, because the mean of its divisors is an integer number (281481200).

Almost surely, 2^14529481956 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 14529481956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20266646400).

14529481956 is an abundant number, since it is smaller than the sum of its proper divisors (26003810844).

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

14529481956 is a wasteful number, since it uses less digits than its factorization.

14529481956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1265 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 14529481956 in words is "fourteen billion, five hundred twenty-nine million, four hundred eighty-one thousand, nine hundred fifty-six".