611306382855168 has 3696 divisors, whose sum is σ = 2636139960195840. Its totient is φ = 138830340096000.

The previous prime is 611306382855131. The next prime is 611306382855169. The reversal of 611306382855168 is 861558283603116.

611306382855168 is a `hidden beast` number, since 6 + 1 + 1 + 3 + 0 + 6 + 38 + 2 + 85 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (611306382855169) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 99383248893 + ... + 99383255043.

Almost surely, 2^{611306382855168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611306382855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318069980097920).

611306382855168 is an abundant number, since it is smaller than the sum of its proper divisors (2024833577340672).

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

611306382855168 is a wasteful number, since it uses less digits than its factorization.

611306382855168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 611306382855168 in words is "six hundred eleven trillion, three hundred six billion, three hundred eighty-two million, eight hundred fifty-five thousand, one hundred sixty-eight".