224881624429056 has 800 divisors, whose sum is σ = 812801846495232. Its totient is φ = 60429309050880.

The previous prime is 224881624428983. The next prime is 224881624429061. The reversal of 224881624429056 is 650924426188422.

224881624429056 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 81 + 62 + 442 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×224881624429056² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 224881624428984 and 224881624429002.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7259616640 + ... + 7259647616.

Almost surely, 2^{224881624429056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224881624429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406400923247616).

224881624429056 is an abundant number, since it is smaller than the sum of its proper divisors (587920222066176).

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

224881624429056 is a wasteful number, since it uses less digits than its factorization.

224881624429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32502 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 224881624429056 in words is "two hundred twenty-four trillion, eight hundred eighty-one billion, six hundred twenty-four million, four hundred twenty-nine thousand, fifty-six".