45205004302120 has 64 divisors (see below), whose sum is σ = 109536257834640. Its totient is φ = 16690917734400.

The previous prime is 45205004302103. The next prime is 45205004302123. The reversal of 45205004302120 is 2120340050254.

It can be written as a sum of positive squares in 8 ways, for example, as 14043891160324 + 31161113141796 = 3747518^2 + 5582214^2 .

It is not an unprimeable number, because it can be changed into a prime (45205004302123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62780940 + ... + 63496900.

Almost surely, 2^{45205004302120} is an apocalyptic number.

45205004302120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45205004302120 is an abundant number, since it is smaller than the sum of its proper divisors (64331253532520).

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

45205004302120 is a wasteful number, since it uses less digits than its factorization.

45205004302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837406 (or 837402 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 45205004302120 its reverse (2120340050254), we get a palindrome (47325344352374).

The spelling of 45205004302120 in words is "forty-five trillion, two hundred five billion, four million, three hundred two thousand, one hundred twenty".