224013114525460 has 96 divisors (see below), whose sum is σ = 507611650597632. Its totient is φ = 82549713392640.

The previous prime is 224013114525433. The next prime is 224013114525503. The reversal of 224013114525460 is 64525411310422.

It is a congruent number.

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, 5272488337 + ... + 5272530823.

It is an arithmetic number, because the mean of its divisors is an integer number (5287621360392).

Almost surely, 2^{224013114525460} is an apocalyptic number.

224013114525460 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 224013114525460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253805825298816).

224013114525460 is an abundant number, since it is smaller than the sum of its proper divisors (283598536072172).

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

224013114525460 is a wasteful number, since it uses less digits than its factorization.

224013114525460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81953 (or 81951 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 224013114525460 its reverse (64525411310422), we get a palindrome (288538525835882).

The spelling of 224013114525460 in words is "two hundred twenty-four trillion, thirteen billion, one hundred fourteen million, five hundred twenty-five thousand, four hundred sixty".