2045345552000 has 128 divisors (see below), whose sum is σ = 5087618387280. Its totient is φ = 817755648000.

The previous prime is 2045345551993. The next prime is 2045345552059. The reversal of 2045345552000 is 2555435402.

It can be written as a sum of positive squares in 8 ways, for example, as 10294943296 + 2035050608704 = 101464^2 + 1426552^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35507222 + ... + 35564778.

Almost surely, 2^{2045345552000} is an apocalyptic number.

2045345552000 is a gapful number since it is divisible by the number (20) 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 2045345552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543809193640).

2045345552000 is an abundant number, since it is smaller than the sum of its proper divisors (3042272835280).

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

2045345552000 is an equidigital number, since it uses as much as digits as its factorization.

2045345552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59807 (or 59785 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The spelling of 2045345552000 in words is "two trillion, forty-five billion, three hundred forty-five million, five hundred fifty-two thousand".