16675486464000 has 1536 divisors, whose sum is σ = 68617240473600. Its totient is φ = 3501313228800.

The previous prime is 16675486463989. The next prime is 16675486464029. The reversal of 16675486464000 is 46468457661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×16675486464000² (a number of 27 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18799871557 + ... + 18799872443.

It is an arithmetic number, because the mean of its divisors is an integer number (44672682600).

Almost surely, 2^{16675486464000} is an apocalyptic number.

16675486464000 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 16675486464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34308620236800).

16675486464000 is an abundant number, since it is smaller than the sum of its proper divisors (51941754009600).

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

16675486464000 is a wasteful number, since it uses less digits than its factorization.

16675486464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 16675486464000 in words is "sixteen trillion, six hundred seventy-five billion, four hundred eighty-six million, four hundred sixty-four thousand".