224252146944 has 1440 divisors, whose sum is σ = 863615836160. Its totient is φ = 56435097600.

The previous prime is 224252146927. The next prime is 224252146949. The reversal of 224252146944 is 449641252422.

224252146944 is a `hidden beast` number, since 2 + 2 + 42 + 521 + 46 + 9 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 224252146944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224252146949) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3676264674 + ... + 3676264734.

Almost surely, 2^224252146944 is an apocalyptic number.

224252146944 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 224252146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431807918080).

224252146944 is an abundant number, since it is smaller than the sum of its proper divisors (639363689216).

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

224252146944 is a wasteful number, since it uses less digits than its factorization.

224252146944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 224252146944 in words is "two hundred twenty-four billion, two hundred fifty-two million, one hundred forty-six thousand, nine hundred forty-four".