1645009288900 has 36 divisors (see below), whose sum is σ = 3570051107140. Its totient is φ = 657933494400.

The previous prime is 1645009288877. The next prime is 1645009288903. The reversal of 1645009288900 is 98829005461.

It can be written as a sum of positive squares in 6 ways, for example, as 297664083396 + 1347345205504 = 545586^2 + 1160752^2 .

It is not an unprimeable number, because it can be changed into a prime (1645009288903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69046 + ... + 1815154.

Almost surely, 2^{1645009288900} is an apocalyptic number.

1645009288900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1645009288900 is an abundant number, since it is smaller than the sum of its proper divisors (1925041818240).

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

1645009288900 is a wasteful number, since it uses less digits than its factorization.

1645009288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755544 (or 1755537 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 1645009288900 in words is "one trillion, six hundred forty-five billion, nine million, two hundred eighty-eight thousand, nine hundred".