1645944361152 has 672 divisors, whose sum is σ = 5738525097984. Its totient is φ = 412115558400.

The previous prime is 1645944361133. The next prime is 1645944361169. The reversal of 1645944361152 is 2511634495461.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 1645944361095 and 1645944361104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200941377 + ... + 200949567.

It is an arithmetic number, because the mean of its divisors is an integer number (8539471872).

Almost surely, 2^{1645944361152} is an apocalyptic number.

1645944361152 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 1645944361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869262548992).

1645944361152 is an abundant number, since it is smaller than the sum of its proper divisors (4092580736832).

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

1645944361152 is a wasteful number, since it uses less digits than its factorization.

1645944361152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8300 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 1645944361152 in words is "one trillion, six hundred forty-five billion, nine hundred forty-four million, three hundred sixty-one thousand, one hundred fifty-two".