1675661643216 has 480 divisors, whose sum is σ = 5537905551360. Its totient is φ = 467493120000.

The previous prime is 1675661643199. The next prime is 1675661643221. The reversal of 1675661643216 is 6123461665761.

1675661643216 is a `hidden beast` number, since 1 + 6 + 7 + 5 + 6 + 616 + 4 + 3 + 2 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334394151 + ... + 334399161.

It is an arithmetic number, because the mean of its divisors is an integer number (11537303232).

Almost surely, 2^{1675661643216} is an apocalyptic number.

1675661643216 is a gapful number since it is divisible by the number (16) 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 1675661643216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768952775680).

1675661643216 is an abundant number, since it is smaller than the sum of its proper divisors (3862243908144).

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

1675661643216 is a wasteful number, since it uses less digits than its factorization.

1675661643216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5358 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 1675661643216 in words is "one trillion, six hundred seventy-five billion, six hundred sixty-one million, six hundred forty-three thousand, two hundred sixteen".