12469776480 has 288 divisors, whose sum is σ = 48761504064. Its totient is φ = 2842656768.

The previous prime is 12469776479. The next prime is 12469776481. The reversal of 12469776480 is 8467796421.

12469776480 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 97 + 76 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (12469776479) and next prime (12469776481).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12469776480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12469776481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363212 + ... + 4366068.

It is an arithmetic number, because the mean of its divisors is an integer number (169310778).

Almost surely, 2^12469776480 is an apocalyptic number.

12469776480 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 12469776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24380752032).

12469776480 is an abundant number, since it is smaller than the sum of its proper divisors (36291727584).

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

12469776480 is a wasteful number, since it uses less digits than its factorization.

12469776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12469776480 in words is "twelve billion, four hundred sixty-nine million, seven hundred seventy-six thousand, four hundred eighty".