449441523216 has 405 divisors, whose sum is σ = 1533971702991. Its totient is φ = 122474765952.

The previous prime is 449441523197. The next prime is 449441523227. The reversal of 449441523216 is 612325144944.

The square root of 449441523216 is 670404.

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

449441523216 is a `hidden beast` number, since 4 + 494 + 4 + 152 + 3 + 2 + 1 + 6 = 666.

Its product of digits (829440) is a multiple of the sum of its prime factors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1295220355 + ... + 1295220701.

Almost surely, 2^449441523216 is an apocalyptic number.

449441523216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

449441523216 is the 670404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449441523216

449441523216 is an abundant number, since it is smaller than the sum of its proper divisors (1084530179775).

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

449441523216 is a wasteful number, since it uses less digits than its factorization.

449441523216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 382 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 449441523216 in words is "four hundred forty-nine billion, four hundred forty-one million, five hundred twenty-three thousand, two hundred sixteen".