14530632480 has 1152 divisors, whose sum is σ = 65163571200. Its totient is φ = 2926264320.

The previous prime is 14530632469. The next prime is 14530632491. The reversal of 14530632480 is 8423603541.

14530632480 is a `hidden beast` number, since 14 + 5 + 3 + 0 + 632 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14530632469) and next prime (14530632491).

It is a super-2 number, since 2×14530632480² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 199049724 + ... + 199049796.

It is an arithmetic number, because the mean of its divisors is an integer number (56565600).

Almost surely, 2^14530632480 is an apocalyptic number.

14530632480 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 14530632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32581785600).

14530632480 is an abundant number, since it is smaller than the sum of its proper divisors (50632938720).

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

14530632480 is a wasteful number, since it uses less digits than its factorization.

14530632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14530632480 in words is "fourteen billion, five hundred thirty million, six hundred thirty-two thousand, four hundred eighty".