14319915480 has 320 divisors, whose sum is σ = 52260848640. Its totient is φ = 3495840768.

The previous prime is 14319915479. The next prime is 14319915517. The reversal of 14319915480 is 8451991341.

14319915480 is a `hidden beast` number, since 1 + 4 + 3 + 19 + 91 + 548 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5347902 + ... + 5350578.

It is an arithmetic number, because the mean of its divisors is an integer number (163315152).

Almost surely, 2^14319915480 is an apocalyptic number.

14319915480 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 14319915480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26130424320).

14319915480 is an abundant number, since it is smaller than the sum of its proper divisors (37940933160).

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

14319915480 is a wasteful number, since it uses less digits than its factorization.

14319915480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 14319915480 in words is "fourteen billion, three hundred nineteen million, nine hundred fifteen thousand, four hundred eighty".