14117485032 has 512 divisors, whose sum is σ = 50554368000. Its totient is φ = 3553320960.

The previous prime is 14117484967. The next prime is 14117485037. The reversal of 14117485032 is 23058471141.

14117485032 is a `hidden beast` number, since 141 + 1 + 7 + 4 + 8 + 503 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14117485037) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66907407 + ... + 66907617.

It is an arithmetic number, because the mean of its divisors is an integer number (98739000).

Almost surely, 2^14117485032 is an apocalyptic number.

14117485032 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 14117485032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25277184000).

14117485032 is an abundant number, since it is smaller than the sum of its proper divisors (36436882968).

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

14117485032 is a wasteful number, since it uses less digits than its factorization.

14117485032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 14117485032 in words is "fourteen billion, one hundred seventeen million, four hundred eighty-five thousand, thirty-two".