611610042114 has 64 divisors (see below), whose sum is σ = 1372781105280. Its totient is φ = 201825492480.

The previous prime is 611610042089. The next prime is 611610042119. The reversal of 611610042114 is 411240016116.

611610042114 is a `hidden beast` number, since 6 + 1 + 1 + 610 + 0 + 42 + 1 + 1 + 4 = 666.

It is a super-2 number, since 2×611610042114² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (611610042119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8521482 + ... + 8592954.

It is an arithmetic number, because the mean of its divisors is an integer number (21449704770).

Almost surely, 2^611610042114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611610042114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686390552640).

611610042114 is an abundant number, since it is smaller than the sum of its proper divisors (761171063166).

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

611610042114 is a wasteful number, since it uses less digits than its factorization.

611610042114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73072 (or 73066 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 611610042114 in words is "six hundred eleven billion, six hundred ten million, forty-two thousand, one hundred fourteen".