224674137516540 has 192 divisors, whose sum is σ = 643991925749760. Its totient is φ = 58510877368320.

The previous prime is 224674137516523. The next prime is 224674137516581. The reversal of 224674137516540 is 45615731476422.

It is a super-2 number, since 2×224674137516540² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796657755 + ... + 796939725.

It is an arithmetic number, because the mean of its divisors is an integer number (3354124613280).

Almost surely, 2^{224674137516540} is an apocalyptic number.

224674137516540 is a gapful number since it is divisible by the number (20) 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 224674137516540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321995962874880).

224674137516540 is an abundant number, since it is smaller than the sum of its proper divisors (419317788233220).

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

224674137516540 is a wasteful number, since it uses less digits than its factorization.

224674137516540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283892 (or 283890 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 224674137516540 in words is "two hundred twenty-four trillion, six hundred seventy-four billion, one hundred thirty-seven million, five hundred sixteen thousand, five hundred forty".