14970875136000 has 2304 divisors, whose sum is σ = 61467035535360. Its totient is φ = 3220439040000.

The previous prime is 14970875135999. The next prime is 14970875136001. The reversal of 14970875136000 is 63157807941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14970875135999) and next prime (14970875136001).

It is not an unprimeable number, because it can be changed into a prime (14970875136001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47830271844 + ... + 47830272156.

It is an arithmetic number, because the mean of its divisors is an integer number (26678400840).

Almost surely, 2^{14970875136000} is an apocalyptic number.

14970875136000 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 14970875136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30733517767680).

14970875136000 is an abundant number, since it is smaller than the sum of its proper divisors (46496160399360).

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

14970875136000 is a wasteful number, since it uses less digits than its factorization.

14970875136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 14970875136000 in words is "fourteen trillion, nine hundred seventy billion, eight hundred seventy-five million, one hundred thirty-six thousand".