14682907572480 has 1728 divisors, whose sum is σ = 64479871991808. Its totient is φ = 3005660528640.

The previous prime is 14682907572479. The next prime is 14682907572493. The reversal of 14682907572480 is 8427570928641.

It is a happy number.

14682907572480 is a `hidden beast` number, since 1 + 4 + 6 + 82 + 9 + 0 + 7 + 5 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6652879537 + ... + 6652881743.

It is an arithmetic number, because the mean of its divisors is an integer number (37314740736).

Almost surely, 2^{14682907572480} is an apocalyptic number.

14682907572480 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 14682907572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32239935995904).

14682907572480 is an abundant number, since it is smaller than the sum of its proper divisors (49796964419328).

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

14682907572480 is a wasteful number, since it uses less digits than its factorization.

14682907572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 14682907572480 in words is "fourteen trillion, six hundred eighty-two billion, nine hundred seven million, five hundred seventy-two thousand, four hundred eighty".