14913105480 has 512 divisors, whose sum is σ = 62691148800. Its totient is φ = 3068928000.

The previous prime is 14913105461. The next prime is 14913105523. The reversal of 14913105480 is 8450131941.

14913105480 is a `hidden beast` number, since 1 + 49 + 131 + 0 + 5 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4027630 + ... + 4031330.

It is an arithmetic number, because the mean of its divisors is an integer number (122443650).

Almost surely, 2^14913105480 is an apocalyptic number.

14913105480 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 14913105480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31345574400).

14913105480 is an abundant number, since it is smaller than the sum of its proper divisors (47778043320).

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

14913105480 is a wasteful number, since it uses less digits than its factorization.

14913105480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 14913105480 in words is "fourteen billion, nine hundred thirteen million, one hundred five thousand, four hundred eighty".