616148118144 has 256 divisors, whose sum is σ = 1966961472000. Its totient is φ = 188753006592.

The previous prime is 616148118143. The next prime is 616148118169. The reversal of 616148118144 is 441811841616.

616148118144 is a `hidden beast` number, since 6 + 1 + 614 + 8 + 1 + 18 + 14 + 4 = 666.

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 616148118144.

It is not an unprimeable number, because it can be changed into a prime (616148118143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10258569 + ... + 10318455.

It is an arithmetic number, because the mean of its divisors is an integer number (7683443250).

Almost surely, 2^616148118144 is an apocalyptic number.

616148118144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616148118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983480736000).

616148118144 is an abundant number, since it is smaller than the sum of its proper divisors (1350813353856).

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

616148118144 is a wasteful number, since it uses less digits than its factorization.

616148118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60152 (or 60134 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The spelling of 616148118144 in words is "six hundred sixteen billion, one hundred forty-eight million, one hundred eighteen thousand, one hundred forty-four".