224016445268825 has 48 divisors (see below), whose sum is σ = 319152587956800. Its totient is φ = 154263846297600.

The previous prime is 224016445268807. The next prime is 224016445268839. The reversal of 224016445268825 is 528862544610422.

It is not a de Polignac number, because 224016445268825 - 2¹⁶ = 224016445203289 is a prime.

It is a super-3 number, since 3×224016445268825³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1658840 + ... + 21231689.

It is an arithmetic number, because the mean of its divisors is an integer number (6649012249100).

Almost surely, 2^{224016445268825} is an apocalyptic number.

224016445268825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224016445268825 is a deficient number, since it is larger than the sum of its proper divisors (95136142687975).

224016445268825 is a wasteful number, since it uses less digits than its factorization.

224016445268825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22892442 (or 22892437 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 59.

The spelling of 224016445268825 in words is "two hundred twenty-four trillion, sixteen billion, four hundred forty-five million, two hundred sixty-eight thousand, eight hundred twenty-five".