224457353233440 has 192 divisors, whose sum is σ = 720203826746880. Its totient is φ = 58750770298880.

The previous prime is 224457353233433. The next prime is 224457353233453. The reversal of 224457353233440 is 44332353754422.

It is a super-2 number, since 2×224457353233440² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13323096 + ... + 25028375.

It is an arithmetic number, because the mean of its divisors is an integer number (3751061597640).

Almost surely, 2^{224457353233440} is an apocalyptic number.

224457353233440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224457353233440 is an abundant number, since it is smaller than the sum of its proper divisors (495746473513440).

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

224457353233440 is a wasteful number, since it uses less digits than its factorization.

224457353233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38351715 (or 38351707 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 51.

The spelling of 224457353233440 in words is "two hundred twenty-four trillion, four hundred fifty-seven billion, three hundred fifty-three million, two hundred thirty-three thousand, four hundred forty".