618041256336 has 315 divisors, whose sum is σ = 2028551262283. Its totient is φ = 175658696640.

The previous prime is 618041256307. The next prime is 618041256347. The reversal of 618041256336 is 633652140816.

The square root of 618041256336 is 786156.

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

618041256336 is a `hidden beast` number, since 6 + 1 + 8 + 0 + 4 + 1 + 2 + 5 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 618041256291 and 618041256300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3235818001 + ... + 3235818191.

Almost surely, 2^618041256336 is an apocalyptic number.

618041256336 is the 786156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 618041256336

618041256336 is an abundant number, since it is smaller than the sum of its proper divisors (1410510005947).

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

618041256336 is an frugal number, since it uses more digits than its factorization.

618041256336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 618041256336 in words is "six hundred eighteen billion, forty-one million, two hundred fifty-six thousand, three hundred thirty-six".