224534672640 has 216 divisors, whose sum is σ = 822565329768. Its totient is φ = 56353751040.

The previous prime is 224534672563. The next prime is 224534672693. The reversal of 224534672640 is 46276435422.

224534672640 is a `hidden beast` number, since 2 + 2 + 4 + 534 + 6 + 72 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36331409664 + 188203262976 = 190608^2 + 433824^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377421 + ... + 769100.

It is an arithmetic number, because the mean of its divisors is an integer number (3808172823).

Almost surely, 2^224534672640 is an apocalyptic number.

224534672640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224534672640 is an abundant number, since it is smaller than the sum of its proper divisors (598030657128).

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

224534672640 is a wasteful number, since it uses less digits than its factorization.

224534672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146565 (or 1146548 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 224534672640 in words is "two hundred twenty-four billion, five hundred thirty-four million, six hundred seventy-two thousand, six hundred forty".