224171990640 has 560 divisors, whose sum is σ = 844698310848. Its totient is φ = 54974951424.

The previous prime is 224171990633. The next prime is 224171990641. The reversal of 224171990640 is 46099171422.

224171990640 is a `hidden beast` number, since 2 + 2 + 417 + 199 + 0 + 6 + 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 not an unprimeable number, because it can be changed into a prime (224171990641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 346478797 + ... + 346479443.

Almost surely, 2^224171990640 is an apocalyptic number.

224171990640 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 224171990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422349155424).

224171990640 is an abundant number, since it is smaller than the sum of its proper divisors (620526320208).

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

224171990640 is a wasteful number, since it uses less digits than its factorization.

224171990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 224171990640 in words is "two hundred twenty-four billion, one hundred seventy-one million, nine hundred ninety thousand, six hundred forty".