224965327414464 has 672 divisors, whose sum is σ = 841785217168896. Its totient is φ = 55743503892480.

The previous prime is 224965327414441. The next prime is 224965327414519. The reversal of 224965327414464 is 464414723569422.

It is a happy number.

224965327414464 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 65 + 32 + 74 + 14 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508581039 + ... + 509023185.

It is an arithmetic number, because the mean of its divisors is an integer number (1252656573168).

Almost surely, 2^{224965327414464} is an apocalyptic number.

224965327414464 is a gapful number since it is divisible by the number (24) 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 224965327414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420892608584448).

224965327414464 is an abundant number, since it is smaller than the sum of its proper divisors (616819889754432).

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

224965327414464 is a wasteful number, since it uses less digits than its factorization.

224965327414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442773 (or 442760 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 63.

The spelling of 224965327414464 in words is "two hundred twenty-four trillion, nine hundred sixty-five billion, three hundred twenty-seven million, four hundred fourteen thousand, four hundred sixty-four".