14625840660480 has 2560 divisors, whose sum is σ = 63717006672000. Its totient is φ = 3139184885760.

The previous prime is 14625840660461. The next prime is 14625840660481. The reversal of 14625840660480 is 8406604852641.

14625840660480 is a `hidden beast` number, since 1 + 4 + 6 + 25 + 8 + 4 + 0 + 6 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14625840660481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 164335288276 + ... + 164335288364.

Almost surely, 2^{14625840660480} is an apocalyptic number.

14625840660480 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 14625840660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31858503336000).

14625840660480 is an abundant number, since it is smaller than the sum of its proper divisors (49091166011520).

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

14625840660480 is an frugal number, since it uses more digits than its factorization.

14625840660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 14625840660480 in words is "fourteen trillion, six hundred twenty-five billion, eight hundred forty million, six hundred sixty thousand, four hundred eighty".