16644313961184 has 384 divisors, whose sum is σ = 54695023165440. Its totient is φ = 4315009480704.

The previous prime is 16644313961159. The next prime is 16644313961203. The reversal of 16644313961184 is 48116931344661.

It is a super-3 number, since 3×16644313961184³ (a number of 41 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 156609567 + ... + 156715809.

It is an arithmetic number, because the mean of its divisors is an integer number (142434956160).

Almost surely, 2^{16644313961184} is an apocalyptic number.

16644313961184 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 16644313961184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27347511582720).

16644313961184 is an abundant number, since it is smaller than the sum of its proper divisors (38050709204256).

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

16644313961184 is a wasteful number, since it uses less digits than its factorization.

16644313961184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106582 (or 106574 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 16644313961184 in words is "sixteen trillion, six hundred forty-four billion, three hundred thirteen million, nine hundred sixty-one thousand, one hundred eighty-four".