14830296480 has 480 divisors, whose sum is σ = 55544227200. Its totient is φ = 3716057088.

The previous prime is 14830296479. The next prime is 14830296517. The reversal of 14830296480 is 8469203841.

It is a happy number.

14830296480 is a `hidden beast` number, since 1 + 4 + 83 + 0 + 2 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 56388829 + ... + 56389091.

It is an arithmetic number, because the mean of its divisors is an integer number (115717140).

Almost surely, 2^14830296480 is an apocalyptic number.

14830296480 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 14830296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27772113600).

14830296480 is an abundant number, since it is smaller than the sum of its proper divisors (40713930720).

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

14830296480 is a wasteful number, since it uses less digits than its factorization.

14830296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14830296480 in words is "fourteen billion, eight hundred thirty million, two hundred ninety-six thousand, four hundred eighty".