1649267441664 has 80 divisors (see below), whose sum is σ = 4398046511100. Its totient is φ = 549755813888.

The previous prime is 1649267441651. The next prime is 1649267441681. The reversal of 1649267441664 is 4661447629461.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)³⁶.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=8192.

Its product of digits (41803776) is a multiple of the sum of its prime factors (81).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1649267441598 and 1649267441607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 1649267441664 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 549755813887 + 549755813888 + 549755813889.

Almost surely, 2^{1649267441664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649267441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199023255550).

1649267441664 is an abundant number, since it is smaller than the sum of its proper divisors (2748779069436).

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

1649267441664 is an frugal number, since it uses more digits than its factorization.

1649267441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 5 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 1649267441664 in words is "one trillion, six hundred forty-nine billion, two hundred sixty-seven million, four hundred forty-one thousand, six hundred sixty-four".