10449916272 has 100 divisors (see below), whose sum is σ = 30271380216. Its totient is φ = 3480278400.

The previous prime is 10449916247. The next prime is 10449916307. The reversal of 10449916272 is 27261994401.

10449916272 is a `hidden beast` number, since 10 + 4 + 4 + 9 + 9 + 1 + 627 + 2 = 666.

10449916272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1877718 + ... + 1883274.

Almost surely, 2^10449916272 is an apocalyptic number.

10449916272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10449916272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135690108).

10449916272 is an abundant number, since it is smaller than the sum of its proper divisors (19821463944).

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

10449916272 is a wasteful number, since it uses less digits than its factorization.

10449916272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10449916272 in words is "ten billion, four hundred forty-nine million, nine hundred sixteen thousand, two hundred seventy-two".