14047488000 has 1152 divisors, whose sum is σ = 63248290560. Its totient is φ = 2919628800.

The previous prime is 14047487977. The next prime is 14047488017. The reversal of 14047488000 is 88474041.

It is a happy number.

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

It is a super-2 number, since 2×14047488000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209663967 + ... + 209664033.

It is an arithmetic number, because the mean of its divisors is an integer number (54903030).

Almost surely, 2^14047488000 is an apocalyptic number.

14047488000 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 14047488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31624145280).

14047488000 is an abundant number, since it is smaller than the sum of its proper divisors (49200802560).

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

14047488000 is a wasteful number, since it uses less digits than its factorization.

14047488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14047488000 in words is "fourteen billion, forty-seven million, four hundred eighty-eight thousand".