16848990144000 has 3840 divisors, whose sum is σ = 76288477224960. Its totient is φ = 3626178969600.

The previous prime is 16848990143989. The next prime is 16848990144029. The reversal of 16848990144000 is 44109984861.

It is a happy number.

16848990144000 is a `hidden beast` number, since 1 + 68 + 4 + 89 + 90 + 14 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 189314495956 + ... + 189314496044.

It is an arithmetic number, because the mean of its divisors is an integer number (19866790944).

Almost surely, 2^{16848990144000} is an apocalyptic number.

16848990144000 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 16848990144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38144238612480).

16848990144000 is an abundant number, since it is smaller than the sum of its proper divisors (59439487080960).

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

16848990144000 is an frugal number, since it uses more digits than its factorization.

16848990144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 16848990144000 in words is "sixteen trillion, eight hundred forty-eight billion, nine hundred ninety million, one hundred forty-four thousand".