14758442473008 has 240 divisors, whose sum is σ = 42088066878816. Its totient is φ = 4428423168000.

The previous prime is 14758442472989. The next prime is 14758442473009. The reversal of 14758442473008 is 80037424485741.

It is a happy number.

14758442473008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14758442473009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922337008 + ... + 922353008.

Almost surely, 2^{14758442473008} 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 14758442473008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21044033439408).

14758442473008 is an abundant number, since it is smaller than the sum of its proper divisors (27329624405808).

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

14758442473008 is a wasteful number, since it uses less digits than its factorization.

14758442473008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16412 (or 16239 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 57.

The spelling of 14758442473008 in words is "fourteen trillion, seven hundred fifty-eight billion, four hundred forty-two million, four hundred seventy-three thousand, eight".