14682576480 has 384 divisors, whose sum is σ = 54572797440. Its totient is φ = 3271311360.

The previous prime is 14682576463. The next prime is 14682576497. The reversal of 14682576480 is 8467528641.

It is an interprime number because it is at equal distance from previous prime (14682576463) and next prime (14682576497).

It is a congruent number.

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, 28073499 + ... + 28074021.

It is an arithmetic number, because the mean of its divisors is an integer number (142116660).

Almost surely, 2^14682576480 is an apocalyptic number.

14682576480 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 14682576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27286398720).

14682576480 is an abundant number, since it is smaller than the sum of its proper divisors (39890220960).

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

14682576480 is a wasteful number, since it uses less digits than its factorization.

14682576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 14682576480 in words is "fourteen billion, six hundred eighty-two million, five hundred seventy-six thousand, four hundred eighty".