14072271488 has 128 divisors (see below), whose sum is σ = 31066295040. Its totient is φ = 6296371200.

The previous prime is 14072271487. The next prime is 14072271517. The reversal of 14072271488 is 88417227041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (14072271481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38343881 + ... + 38344247.

It is an arithmetic number, because the mean of its divisors is an integer number (242705430).

Almost surely, 2^14072271488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14072271488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15533147520).

14072271488 is an abundant number, since it is smaller than the sum of its proper divisors (16994023552).

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

14072271488 is a wasteful number, since it uses less digits than its factorization.

14072271488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 44.

The spelling of 14072271488 in words is "fourteen billion, seventy-two million, two hundred seventy-one thousand, four hundred eighty-eight".