224245455840 has 576 divisors, whose sum is σ = 893577484800. Its totient is φ = 50153582592.

The previous prime is 224245455829. The next prime is 224245455869. The reversal of 224245455840 is 48554542422.

224245455840 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 4 + 54 + 558 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91192531 + ... + 91194989.

It is an arithmetic number, because the mean of its divisors is an integer number (1551349800).

Almost surely, 2^224245455840 is an apocalyptic number.

224245455840 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 224245455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446788742400).

224245455840 is an abundant number, since it is smaller than the sum of its proper divisors (669332028960).

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

224245455840 is a wasteful number, since it uses less digits than its factorization.

224245455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

The spelling of 224245455840 in words is "two hundred twenty-four billion, two hundred forty-five million, four hundred fifty-five thousand, eight hundred forty".