14922246144 has 192 divisors, whose sum is σ = 45102657600. Its totient is φ = 4349362176.

The previous prime is 14922246139. The next prime is 14922246173. The reversal of 14922246144 is 44164222941.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512652 + ... + 1522484.

It is an arithmetic number, because the mean of its divisors is an integer number (234909675).

Almost surely, 2^14922246144 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 14922246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22551328800).

14922246144 is an abundant number, since it is smaller than the sum of its proper divisors (30180411456).

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

14922246144 is a wasteful number, since it uses less digits than its factorization.

14922246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9870 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 14922246144 in words is "fourteen billion, nine hundred twenty-two million, two hundred forty-six thousand, one hundred forty-four".