224535254255340 has 288 divisors, whose sum is σ = 747030997923840. Its totient is φ = 50221831435776.

The previous prime is 224535254255329. The next prime is 224535254255381. The reversal of 224535254255340 is 43552452535422.

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, 829912006 + ... + 830182514.

It is an arithmetic number, because the mean of its divisors is an integer number (2593857631680).

Almost surely, 2^{224535254255340} is an apocalyptic number.

224535254255340 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 224535254255340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373515498961920).

224535254255340 is an abundant number, since it is smaller than the sum of its proper divisors (522495743668500).

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

224535254255340 is a wasteful number, since it uses less digits than its factorization.

224535254255340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276589 (or 276580 counting only the distinct ones).

The product of its (nonzero) digits is 28800000, while the sum is 51.

The spelling of 224535254255340 in words is "two hundred twenty-four trillion, five hundred thirty-five billion, two hundred fifty-four million, two hundred fifty-five thousand, three hundred forty".