224073476496 has 165 divisors, whose sum is σ = 652549797291. Its totient is φ = 74537788896.

The previous prime is 224073476489. The next prime is 224073476507. The reversal of 224073476496 is 694674370422.

The square root of 224073476496 is 473364.

It is a perfect power (a square), and thus also a powerful number.

224073476496 is a `hidden beast` number, since 2 + 2 + 40 + 73 + 47 + 6 + 496 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 460109565 + ... + 460110051.

Almost surely, 2^224073476496 is an apocalyptic number.

224073476496 is the 473364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224073476496

224073476496 is an abundant number, since it is smaller than the sum of its proper divisors (428476320795).

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

224073476496 is an frugal number, since it uses more digits than its factorization.

224073476496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

It can be divided in two parts, 224073 and 476496, that added together give a square (700569 = 837²).

The spelling of 224073476496 in words is "two hundred twenty-four billion, seventy-three million, four hundred seventy-six thousand, four hundred ninety-six".