1645509752432 has 160 divisors (see below), whose sum is σ = 4036303326720. Its totient is φ = 632581954560.

The previous prime is 1645509752431. The next prime is 1645509752441. The reversal of 1645509752432 is 2342579055461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645509752431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7260119 + ... + 7483337.

It is an arithmetic number, because the mean of its divisors is an integer number (25226895792).

Almost surely, 2^{1645509752432} 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 1645509752432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018151663360).

1645509752432 is an abundant number, since it is smaller than the sum of its proper divisors (2390793574288).

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

1645509752432 is a wasteful number, since it uses less digits than its factorization.

1645509752432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223391 (or 223385 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 53.

The spelling of 1645509752432 in words is "one trillion, six hundred forty-five billion, five hundred nine million, seven hundred fifty-two thousand, four hundred thirty-two".