1645746336 has 360 divisors, whose sum is σ = 5569821180. Its totient is φ = 476596224.

The previous prime is 1645746331. The next prime is 1645746341. The reversal of 1645746336 is 6336475461.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1645746336 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 7 + 4 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1645746331) and next prime (1645746341).

It can be written as a sum of positive squares in 6 ways, for example, as 17139600 + 1628606736 = 4140^2 + 40356^2 .

Its product of digits (1088640) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 1645746291 and 1645746300.

It is not an unprimeable number, because it can be changed into a prime (1645746331) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 96808600 + ... + 96808616.

Almost surely, 2^1645746336 is an apocalyptic number.

1645746336 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 1645746336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784910590).

1645746336 is an abundant number, since it is smaller than the sum of its proper divisors (3924074844).

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

1645746336 is an equidigital number, since it uses as much as digits as its factorization.

1645746336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 35 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 1645746336 is about 40567.7992501442. The cubic root of 1645746336 is about 1180.6494404505.

The spelling of 1645746336 in words is "one billion, six hundred forty-five million, seven hundred forty-six thousand, three hundred thirty-six".