213366391056 has 945 divisors, whose sum is σ = 797699574261. Its totient is φ = 55075168512.

The previous prime is 213366391033. The next prime is 213366391057. The reversal of 213366391056 is 650193663312.

The square root of 213366391056 is 461916.

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

213366391056 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 6 + 639 + 1 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31563075600 + 181803315456 = 177660^2 + 426384^2 .

It is not an unprimeable number, because it can be changed into a prime (213366391057) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 4539710425 + ... + 4539710471.

Almost surely, 2^213366391056 is an apocalyptic number.

213366391056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

213366391056 is the 461916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213366391056

213366391056 is an abundant number, since it is smaller than the sum of its proper divisors (584333183205).

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

213366391056 is an equidigital number, since it uses as much as digits as its factorization.

213366391056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 213366391056 in words is "two hundred thirteen billion, three hundred sixty-six million, three hundred ninety-one thousand, fifty-six".