450110001001000 has 64 divisors (see below), whose sum is σ = 1053453151305360. Its totient is φ = 180010539040000.

The previous prime is 450110001000973. The next prime is 450110001001007. The reversal of 450110001001000 is 100100011054.

It can be written as a sum of positive squares in 8 ways, for example, as 52976766048196 + 397133234952804 = 7278514^2 + 19928202^2 .

It is a super-2 number, since 2×450110001001000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450110001001007) 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, 36443011 + ... + 47205010.

Almost surely, 2^{450110001001000} is an apocalyptic number.

450110001001000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450110001001000 is an abundant number, since it is smaller than the sum of its proper divisors (603343150304360).

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

450110001001000 is a wasteful number, since it uses less digits than its factorization.

450110001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83653423 (or 83653409 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 450110001001000 its reverse (100100011054), we get a palindrome (450210101012054).

The spelling of 450110001001000 in words is "four hundred fifty trillion, one hundred ten billion, one million, one thousand".