451045216801 has 9 divisors (see below), whose sum is σ = 452635090803. Its totient is φ = 449460914760.

The previous prime is 451045216799. The next prime is 451045216819. The reversal of 451045216801 is 108612540154.

The square root of 451045216801 is 671599.

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., 447495440401 + 3549776400 = 668951^2 + 59580^2 .

It is not a de Polignac number, because 451045216801 - 2¹ = 451045216799 is a prime.

It is a super-2 number, since 2×451045216801² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (451045216871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222298255 + ... + 222300283.

It is an arithmetic number, because the mean of its divisors is an integer number (50292787867).

Almost surely, 2^451045216801 is an apocalyptic number.

451045216801 is the 671599-th square number.

451045216801 is the 335800-th centered octagonal number.

It is an amenable number.

451045216801 is a deficient number, since it is larger than the sum of its proper divisors (1589874002).

451045216801 is an frugal number, since it uses more digits than its factorization.

451045216801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

Adding to 451045216801 its reverse (108612540154), we get a palindrome (559657756955).

The spelling of 451045216801 in words is "four hundred fifty-one billion, forty-five million, two hundred sixteen thousand, eight hundred one".