224608724928 has 896 divisors, whose sum is σ = 814058864640. Its totient is φ = 59353620480.

The previous prime is 224608724911. The next prime is 224608724939. The reversal of 224608724928 is 829427806422.

224608724928 is a `hidden beast` number, since 2 + 2 + 4 + 608 + 7 + 2 + 4 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1639479676 + ... + 1639479812.

It is an arithmetic number, because the mean of its divisors is an integer number (908547840).

Almost surely, 2^224608724928 is an apocalyptic number.

224608724928 is a gapful number since it is divisible by the number (28) 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 224608724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407029432320).

224608724928 is an abundant number, since it is smaller than the sum of its proper divisors (589450139712).

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

224608724928 is a wasteful number, since it uses less digits than its factorization.

224608724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 224608724928 in words is "two hundred twenty-four billion, six hundred eight million, seven hundred twenty-four thousand, nine hundred twenty-eight".