14457940648800 has 720 divisors, whose sum is σ = 52000220054160. Its totient is φ = 3489136640000.

The previous prime is 14457940648771. The next prime is 14457940648829. The reversal of 14457940648800 is 884604975441.

It is an interprime number because it is at equal distance from previous prime (14457940648771) and next prime (14457940648829).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9030568000 + ... + 9030569600.

It is an arithmetic number, because the mean of its divisors is an integer number (72222527853).

Almost surely, 2^{14457940648800} is an apocalyptic number.

14457940648800 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 14457940648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26000110027080).

14457940648800 is an abundant number, since it is smaller than the sum of its proper divisors (37542279405360).

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

14457940648800 is a wasteful number, since it uses less digits than its factorization.

14457940648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 14457940648800 in words is "fourteen trillion, four hundred fifty-seven billion, nine hundred forty million, six hundred forty-eight thousand, eight hundred".