2045345552001 has 32 divisors (see below), whose sum is σ = 3073048381440. Its totient is φ = 1344258493200.

The previous prime is 2045345551993. The next prime is 2045345552059. The reversal of 2045345552001 is 1002555435402.

2045345552001 is a `hidden beast` number, since 20 + 4 + 534 + 55 + 52 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 2045345552001 - 2³ = 2045345551993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2045345552501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32793636 + ... + 32855946.

It is an arithmetic number, because the mean of its divisors is an integer number (96032761920).

Almost surely, 2^{2045345552001} is an apocalyptic number.

It is an amenable number.

2045345552001 is a deficient number, since it is larger than the sum of its proper divisors (1027702829439).

2045345552001 is a wasteful number, since it uses less digits than its factorization.

2045345552001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79514 (or 79508 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 2045345552001 in words is "two trillion, forty-five billion, three hundred forty-five million, five hundred fifty-two thousand, one".