14757984000 has 1152 divisors, whose sum is σ = 61221888000. Its totient is φ = 3483648000.

The previous prime is 14757983983. The next prime is 14757984011. The reversal of 14757984000 is 48975741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 476063985 + ... + 476064015.

It is an arithmetic number, because the mean of its divisors is an integer number (53144000).

Almost surely, 2^14757984000 is an apocalyptic number.

14757984000 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 14757984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610944000).

14757984000 is an abundant number, since it is smaller than the sum of its proper divisors (46463904000).

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

14757984000 is a wasteful number, since it uses less digits than its factorization.

14757984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 14757984000 in words is "fourteen billion, seven hundred fifty-seven million, nine hundred eighty-four thousand".