224021251460664 has 128 divisors (see below), whose sum is σ = 711190509120000. Its totient is φ = 64004997871872.

The previous prime is 224021251460651. The next prime is 224021251460707. The reversal of 224021251460664 is 466064152120422.

224021251460664 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 2 + 1 + 25 + 14 + 606 + 6 + 4 = 666.

It is a super-2 number, since 2×224021251460664² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91169212 + ... + 93594164.

It is an arithmetic number, because the mean of its divisors is an integer number (5556175852500).

Almost surely, 2^{224021251460664} is an apocalyptic number.

224021251460664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224021251460664 is an abundant number, since it is smaller than the sum of its proper divisors (487169257659336).

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

224021251460664 is a wasteful number, since it uses less digits than its factorization.

224021251460664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486074 (or 2486064 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 224021251460664 in words is "two hundred twenty-four trillion, twenty-one billion, two hundred fifty-one million, four hundred sixty thousand, six hundred sixty-four".