451141522000 has 80 divisors (see below), whose sum is σ = 1174772590992. Its totient is φ = 166575321600.

The previous prime is 451141521991. The next prime is 451141522019. The reversal of 451141522000 is 225141154.

It can be written as a sum of positive squares in 8 ways, for example, as 317311396416 + 133830125584 = 563304^2 + 365828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8649799 + ... + 8701798.

Almost surely, 2^451141522000 is an apocalyptic number.

451141522000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451141522000 is an abundant number, since it is smaller than the sum of its proper divisors (723631068992).

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

451141522000 is a wasteful number, since it uses less digits than its factorization.

451141522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17351633 (or 17351617 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 451141522000 its reverse (225141154), we get a palindrome (451366663154).

The spelling of 451141522000 in words is "four hundred fifty-one billion, one hundred forty-one million, five hundred twenty-two thousand".