14007552000 has 768 divisors, whose sum is σ = 53231592960. Its totient is φ = 3244032000.

The previous prime is 14007551953. The next prime is 14007552029. The reversal of 14007552000 is 25570041.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229631970 + ... + 229632030.

It is an arithmetic number, because the mean of its divisors is an integer number (69311970).

Almost surely, 2^14007552000 is an apocalyptic number.

14007552000 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 14007552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26615796480).

14007552000 is an abundant number, since it is smaller than the sum of its proper divisors (39224040960).

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

14007552000 is a wasteful number, since it uses less digits than its factorization.

14007552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The spelling of 14007552000 in words is "fourteen billion, seven million, five hundred fifty-two thousand".