1644086771712 has 1440 divisors, whose sum is σ = 6375415947264. Its totient is φ = 410871398400.

The previous prime is 1644086771689. The next prime is 1644086771791. The reversal of 1644086771712 is 2171776804461.

1644086771712 is a `hidden beast` number, since 1 + 6 + 4 + 408 + 67 + 7 + 171 + 2 = 666.

It is a super-3 number, since 3×1644086771712³ (a number of 38 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9503391658 + ... + 9503391830.

Almost surely, 2^{1644086771712} is an apocalyptic number.

1644086771712 is a gapful number since it is divisible by the number (12) 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 1644086771712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187707973632).

1644086771712 is an abundant number, since it is smaller than the sum of its proper divisors (4731329175552).

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

1644086771712 is an equidigital number, since it uses as much as digits as its factorization.

1644086771712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 1644086771712 in words is "one trillion, six hundred forty-four billion, eighty-six million, seven hundred seventy-one thousand, seven hundred twelve".