224724701157460 has 192 divisors, whose sum is σ = 544478947891200. Its totient is φ = 76318306541568.

The previous prime is 224724701157433. The next prime is 224724701157461. The reversal of 224724701157460 is 64751107427422.

It is a junction number, because it is equal to n+sod(n) for n = 224724701157398 and 224724701157407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224724701157461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8374924204 + ... + 8374951036.

It is an arithmetic number, because the mean of its divisors is an integer number (2835827853600).

Almost surely, 2^{224724701157460} is an apocalyptic number.

224724701157460 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 224724701157460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272239473945600).

224724701157460 is an abundant number, since it is smaller than the sum of its proper divisors (319754246733740).

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

224724701157460 is a wasteful number, since it uses less digits than its factorization.

224724701157460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28410 (or 28408 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 52.

The spelling of 224724701157460 in words is "two hundred twenty-four trillion, seven hundred twenty-four billion, seven hundred one million, one hundred fifty-seven thousand, four hundred sixty".