14487372480 has 448 divisors, whose sum is σ = 55712563200. Its totient is φ = 3117920256.

The previous prime is 14487372479. The next prime is 14487372521. The reversal of 14487372480 is 8427378441.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×14487372480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10354821 + ... + 10356219.

It is an arithmetic number, because the mean of its divisors is an integer number (124358400).

Almost surely, 2^14487372480 is an apocalyptic number.

14487372480 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 14487372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27856281600).

14487372480 is an abundant number, since it is smaller than the sum of its proper divisors (41225190720).

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

14487372480 is a wasteful number, since it uses less digits than its factorization.

14487372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 14487372480 in words is "fourteen billion, four hundred eighty-seven million, three hundred seventy-two thousand, four hundred eighty".