14754168000 has 672 divisors, whose sum is σ = 62048331072. Its totient is φ = 3299328000.

The previous prime is 14754167959. The next prime is 14754168001. The reversal of 14754168000 is 86145741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14754168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10295284 + ... + 10296716.

It is an arithmetic number, because the mean of its divisors is an integer number (92333826).

Almost surely, 2^14754168000 is an apocalyptic number.

14754168000 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 14754168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31024165536).

14754168000 is an abundant number, since it is smaller than the sum of its proper divisors (47294163072).

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

14754168000 is a wasteful number, since it uses less digits than its factorization.

14754168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 14754168000 in words is "fourteen billion, seven hundred fifty-four million, one hundred sixty-eight thousand".