7182146468616 has 128 divisors (see below), whose sum is σ = 20621118566400. Its totient is φ = 2041975111680.

The previous prime is 7182146468611. The next prime is 7182146468617. The reversal of 7182146468616 is 6168646412817.

It is a super-4 number, since 4×7182146468616⁴ (a number of 53 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7182146468616.

It is not an unprimeable number, because it can be changed into a prime (7182146468611) 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, 275027976 + ... + 275054088.

It is an arithmetic number, because the mean of its divisors is an integer number (161102488800).

Almost surely, 2^{7182146468616} 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 7182146468616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10310559283200).

7182146468616 is an abundant number, since it is smaller than the sum of its proper divisors (13438972097784).

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

7182146468616 is a wasteful number, since it uses less digits than its factorization.

7182146468616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34099 (or 34095 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 7182146468616 in words is "seven trillion, one hundred eighty-two billion, one hundred forty-six million, four hundred sixty-eight thousand, six hundred sixteen".