1645016892288 has 768 divisors, whose sum is σ = 5637812544000. Its totient is φ = 424482938880.

The previous prime is 1645016892241. The next prime is 1645016892289. The reversal of 1645016892288 is 8822986105461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645016892289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3713356195 + ... + 3713356637.

It is an arithmetic number, because the mean of its divisors is an integer number (7340901750).

Almost surely, 2^{1645016892288} 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 1645016892288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818906272000).

1645016892288 is an abundant number, since it is smaller than the sum of its proper divisors (3992795651712).

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

1645016892288 is a wasteful number, since it uses less digits than its factorization.

1645016892288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 1645016892288 in words is "one trillion, six hundred forty-five billion, sixteen million, eight hundred ninety-two thousand, two hundred eighty-eight".