224775255553002 has 512 divisors, whose sum is σ = 646219490918400. Its totient is φ = 56196011692800.

The previous prime is 224775255552997. The next prime is 224775255553019. The reversal of 224775255553002 is 200355552577422.

224775255553002 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 7 + 52 + 5 + 55 + 530 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 224775255553002.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 82912302427 + ... + 82912305137.

It is an arithmetic number, because the mean of its divisors is an integer number (1262147443200).

Almost surely, 2^{224775255553002} is an apocalyptic number.

224775255553002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 224775255553002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323109745459200).

224775255553002 is an abundant number, since it is smaller than the sum of its proper divisors (421444235365398).

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

224775255553002 is a wasteful number, since it uses less digits than its factorization.

224775255553002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 29400000, while the sum is 54.

The spelling of 224775255553002 in words is "two hundred twenty-four trillion, seven hundred seventy-five billion, two hundred fifty-five million, five hundred fifty-three thousand, two".