45198334801 has 9 divisors (see below), whose sum is σ = 46817027803. Its totient is φ = 43633818760.

The previous prime is 45198334771. The next prime is 45198334807. The reversal of 45198334801 is 10843389154.

The square root of 45198334801 is 212599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23700910401 + 21497424400 = 153951^2 + 146620^2 .

It is not a de Polignac number, because 45198334801 - 2¹³ = 45198326609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45198334807) 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 8 ways as a sum of consecutive naturals, for example, 6161706 + ... + 6169036.

Almost surely, 2^45198334801 is an apocalyptic number.

45198334801 is the 212599-th square number.

45198334801 is the 106300-th centered octagonal number.

It is an amenable number.

45198334801 is a deficient number, since it is larger than the sum of its proper divisors (1618693002).

45198334801 is an frugal number, since it uses more digits than its factorization.

45198334801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14720 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 45198334801 in words is "forty-five billion, one hundred ninety-eight million, three hundred thirty-four thousand, eight hundred one".