2045514134100 has 72 divisors (see below), whose sum is σ = 5922585860800. Its totient is φ = 545080423680.

The previous prime is 2045514134039. The next prime is 2045514134113. The reversal of 2045514134100 is 14314155402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2017177 + ... + 2856576.

Almost surely, 2^{2045514134100} is an apocalyptic number.

2045514134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045514134100 is an abundant number, since it is smaller than the sum of its proper divisors (3877071726700).

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

2045514134100 is a wasteful number, since it uses less digits than its factorization.

2045514134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875169 (or 4875162 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2045514134100 its reverse (14314155402), we get a palindrome (2059828289502).

The spelling of 2045514134100 in words is "two trillion, forty-five billion, five hundred fourteen million, one hundred thirty-four thousand, one hundred".