14788414080 has 256 divisors, whose sum is σ = 57137788800. Its totient is φ = 3585024000.

The previous prime is 14788414063. The next prime is 14788414097. The reversal of 14788414080 is 8041488741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14788414063) and next prime (14788414097).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151180 + ... + 228980.

Almost surely, 2^14788414080 is an apocalyptic number.

14788414080 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 14788414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28568894400).

14788414080 is an abundant number, since it is smaller than the sum of its proper divisors (42349374720).

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

14788414080 is a wasteful number, since it uses less digits than its factorization.

14788414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77840 (or 77822 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 14788414080 in words is "fourteen billion, seven hundred eighty-eight million, four hundred fourteen thousand, eighty".