224554008526848 has 3000 divisors, whose sum is σ = 915399715112960. Its totient is φ = 53415192821760.

The previous prime is 224554008526843. The next prime is 224554008526933. The reversal of 224554008526848 is 848625800455422.

224554008526848 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 540 + 0 + 8 + 5 + 2 + 6 + 84 + 8 = 666.

It is a super-2 number, since 2×224554008526848² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (224554008526843) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1768141799361 + ... + 1768141799487.

Almost surely, 2^{224554008526848} is an apocalyptic number.

224554008526848 is a gapful number since it is divisible by the number (28) 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 224554008526848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457699857556480).

224554008526848 is an abundant number, since it is smaller than the sum of its proper divisors (690845706586112).

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

224554008526848 is an frugal number, since it uses more digits than its factorization.

224554008526848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 196608000, while the sum is 63.

The spelling of 224554008526848 in words is "two hundred twenty-four trillion, five hundred fifty-four billion, eight million, five hundred twenty-six thousand, eight hundred forty-eight".