224867155968 has 1280 divisors, whose sum is σ = 888130320000. Its totient is φ = 56184274944.

The previous prime is 224867155963. The next prime is 224867155993. The reversal of 224867155968 is 869551768422.

224867155968 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 6 + 71 + 559 + 6 + 8 = 666.

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 (224867155963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11835113463 + ... + 11835113481.

Almost surely, 2^224867155968 is an apocalyptic number.

224867155968 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 224867155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444065160000).

224867155968 is an abundant number, since it is smaller than the sum of its proper divisors (663263164032).

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

224867155968 is an frugal number, since it uses more digits than its factorization.

224867155968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 44 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 224867155968 in words is "two hundred twenty-four billion, eight hundred sixty-seven million, one hundred fifty-five thousand, nine hundred sixty-eight".