14346132480 has 352 divisors, whose sum is σ = 51385922880. Its totient is φ = 3795517440.

The previous prime is 14346132473. The next prime is 14346132487. The reversal of 14346132480 is 8423164341.

14346132480 is a `hidden beast` number, since 1 + 4 + 3 + 46 + 132 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (14346132473) and next prime (14346132487).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346132487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21703350 + ... + 21704010.

Almost surely, 2^14346132480 is an apocalyptic number.

14346132480 is a gapful number since it is divisible by the number (10) 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 14346132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25692961440).

14346132480 is an abundant number, since it is smaller than the sum of its proper divisors (37039790400).

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

14346132480 is a wasteful number, since it uses less digits than its factorization.

14346132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14346132480 in words is "fourteen billion, three hundred forty-six million, one hundred thirty-two thousand, four hundred eighty".