224158806564 has 384 divisors, whose sum is σ = 710478397440. Its totient is φ = 53275622400.

The previous prime is 224158806527. The next prime is 224158806569. The reversal of 224158806564 is 465608851422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (224158806569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58632357 + ... + 58636179.

It is an arithmetic number, because the mean of its divisors is an integer number (1850204160).

Almost surely, 2^224158806564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224158806564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355239198720).

224158806564 is an abundant number, since it is smaller than the sum of its proper divisors (486319590876).

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

224158806564 is a wasteful number, since it uses less digits than its factorization.

224158806564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 224158806564 in words is "two hundred twenty-four billion, one hundred fifty-eight million, eight hundred six thousand, five hundred sixty-four".