449554158144 has 567 divisors, whose sum is σ = 1628421034617. Its totient is φ = 118177532928.

The previous prime is 449554158127. The next prime is 449554158223. The reversal of 449554158144 is 441851455944.

It is a happy number.

The square root of 449554158144 is 670488.

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

449554158144 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 54 + 1 + 581 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66502094400 + 383052063744 = 257880^2 + 618912^2 .

It is a super-2 number, since 2×449554158144² (a number of 24 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 1464345639 + ... + 1464345945.

Almost surely, 2^449554158144 is an apocalyptic number.

449554158144 is the 670488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449554158144

449554158144 is an abundant number, since it is smaller than the sum of its proper divisors (1178866876473).

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

449554158144 is a wasteful number, since it uses less digits than its factorization.

449554158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 332 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 449554158144 in words is "four hundred forty-nine billion, five hundred fifty-four million, one hundred fifty-eight thousand, one hundred forty-four".