224238248640 has 560 divisors, whose sum is σ = 919756994112. Its totient is φ = 50796232704.

The previous prime is 224238248639. The next prime is 224238248681. The reversal of 224238248640 is 46842832422.

224238248640 is a `hidden beast` number, since 224 + 2 + 382 + 4 + 8 + 6 + 40 = 666.

224238248640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20497252 + ... + 20508188.

Almost surely, 2^224238248640 is an apocalyptic number.

224238248640 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 224238248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459878497056).

224238248640 is an abundant number, since it is smaller than the sum of its proper divisors (695518745472).

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

224238248640 is a wasteful number, since it uses less digits than its factorization.

224238248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11086 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

It can be divided in two parts, 224238 and 248640, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 224238248640 in words is "two hundred twenty-four billion, two hundred thirty-eight million, two hundred forty-eight thousand, six hundred forty".