213798963456 has 675 divisors, whose sum is σ = 728896041951. Its totient is φ = 62321965056.

The previous prime is 213798963451. The next prime is 213798963457. The reversal of 213798963456 is 654369897312.

The square root of 213798963456 is 462384.

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

213798963456 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 98 + 96 + 3 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106004941056 + 107794022400 = 325584^2 + 328320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213798963393 and 213798963402.

It is not an unprimeable number, because it can be changed into a prime (213798963451) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 11252577015 + ... + 11252577033.

Almost surely, 2^213798963456 is an apocalyptic number.

213798963456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

213798963456 is the 462384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213798963456

213798963456 is an abundant number, since it is smaller than the sum of its proper divisors (515097078495).

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

213798963456 is an frugal number, since it uses more digits than its factorization.

213798963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 37 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 213798963456 in words is "two hundred thirteen billion, seven hundred ninety-eight million, nine hundred sixty-three thousand, four hundred fifty-six".