224241515664 has 160 divisors (see below), whose sum is σ = 622184177664. Its totient is φ = 69342873600.

The previous prime is 224241515651. The next prime is 224241515677. The reversal of 224241515664 is 466515142422.

It is an interprime number because it is at equal distance from previous prime (224241515651) and next prime (224241515677).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31354489 + ... + 31361639.

Almost surely, 2^224241515664 is an apocalyptic number.

224241515664 is a gapful number since it is divisible by the number (24) 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 224241515664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311092088832).

224241515664 is an abundant number, since it is smaller than the sum of its proper divisors (397942662000).

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

224241515664 is a wasteful number, since it uses less digits than its factorization.

224241515664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7719 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 224241515664 in words is "two hundred twenty-four billion, two hundred forty-one million, five hundred fifteen thousand, six hundred sixty-four".