14608092006144 has 864 divisors, whose sum is σ = 54197023668480. Its totient is φ = 3846992486400.

The previous prime is 14608092006077. The next prime is 14608092006197. The reversal of 14608092006144 is 44160029080641.

14608092006144 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 8 + 0 + 9 + 20 + 0 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 14608092006144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3570785539 + ... + 3570789629.

Almost surely, 2^{14608092006144} is an apocalyptic number.

14608092006144 is a gapful number since it is divisible by the number (14) 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 14608092006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27098511834240).

14608092006144 is an abundant number, since it is smaller than the sum of its proper divisors (39588931662336).

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

14608092006144 is a wasteful number, since it uses less digits than its factorization.

14608092006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4954 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14608092006144 in words is "fourteen trillion, six hundred eight billion, ninety-two million, six thousand, one hundred forty-four".