14974968023000 has 128 divisors (see below), whose sum is σ = 35331226444800. Its totient is φ = 5940506416000.

The previous prime is 14974968022957. The next prime is 14974968023023. The reversal of 14974968023000 is 32086947941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212053697 + ... + 212124303.

It is an arithmetic number, because the mean of its divisors is an integer number (276025206600).

Almost surely, 2^{14974968023000} is an apocalyptic number.

14974968023000 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 14974968023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665613222400).

14974968023000 is an abundant number, since it is smaller than the sum of its proper divisors (20356258421800).

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

14974968023000 is a wasteful number, since it uses less digits than its factorization.

14974968023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72378 (or 72364 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 14974968023000 in words is "fourteen trillion, nine hundred seventy-four billion, nine hundred sixty-eight million, twenty-three thousand".