14481733875840 has 1536 divisors, whose sum is σ = 64559400192000. Its totient is φ = 3003142348800.

The previous prime is 14481733875823. The next prime is 14481733875929. The reversal of 14481733875840 is 4857833718441.

It is a happy number.

14481733875840 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 17 + 3 + 38 + 7 + 584 + 0 = 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, 14211710851 + ... + 14211711869.

It is an arithmetic number, because the mean of its divisors is an integer number (42030859500).

Almost surely, 2^{14481733875840} is an apocalyptic number.

14481733875840 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 14481733875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32279700096000).

14481733875840 is an abundant number, since it is smaller than the sum of its proper divisors (50077666316160).

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

14481733875840 is a wasteful number, since it uses less digits than its factorization.

14481733875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 14481733875840 in words is "fourteen trillion, four hundred eighty-one billion, seven hundred thirty-three million, eight hundred seventy-five thousand, eight hundred forty".