224947191456 has 576 divisors, whose sum is σ = 737722073088. Its totient is φ = 64492775424.

The previous prime is 224947191439. The next prime is 224947191481. The reversal of 224947191456 is 654191749422.

224947191456 is a `hidden beast` number, since 2 + 2 + 49 + 471 + 91 + 45 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732726855 + ... + 732727161.

It is an arithmetic number, because the mean of its divisors is an integer number (1280767488).

Almost surely, 2^224947191456 is an apocalyptic number.

224947191456 is a gapful number since it is divisible by the number (26) 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 224947191456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368861036544).

224947191456 is an abundant number, since it is smaller than the sum of its proper divisors (512774881632).

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

224947191456 is a wasteful number, since it uses less digits than its factorization.

224947191456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 224947191456 in words is "two hundred twenty-four billion, nine hundred forty-seven million, one hundred ninety-one thousand, four hundred fifty-six".