224457465541400 has 192 divisors, whose sum is σ = 655959495905280. Its totient is φ = 69525660326400.

The previous prime is 224457465541399. The next prime is 224457465541409. The reversal of 224457465541400 is 4145564754422.

It is a super-2 number, since 2×224457465541400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224457465541409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 130344896 + ... + 132055695.

It is an arithmetic number, because the mean of its divisors is an integer number (3416455707840).

Almost surely, 2^{224457465541400} is an apocalyptic number.

224457465541400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224457465541400 is an abundant number, since it is smaller than the sum of its proper divisors (431502030363880).

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

224457465541400 is a wasteful number, since it uses less digits than its factorization.

224457465541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262400674 (or 262400665 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 53.

The spelling of 224457465541400 in words is "two hundred twenty-four trillion, four hundred fifty-seven billion, four hundred sixty-five million, five hundred forty-one thousand, four hundred".