1646521344 has 264 divisors, whose sum is σ = 5320071120. Its totient is φ = 505626624.

The previous prime is 1646521301. The next prime is 1646521363. The reversal of 1646521344 is 4431256461.

1646521344 is a `hidden beast` number, since 1 + 646 + 5 + 2 + 1 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×1646521344² = 5422065072495132672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1646521299 and 1646521308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234562 + ... + 3235070.

Almost surely, 2^1646521344 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 1646521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660035560).

1646521344 is an abundant number, since it is smaller than the sum of its proper divisors (3673549776).

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

1646521344 is an equidigital number, since it uses as much as digits as its factorization.

1646521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 527 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1646521344 is about 40577.3501352663. The cubic root of 1646521344 is about 1180.8347402034.

The spelling of 1646521344 in words is "one billion, six hundred forty-six million, five hundred twenty-one thousand, three hundred forty-four".