616954538746128 has 160 divisors (see below), whose sum is σ = 1755971846323200. Its totient is φ = 185100265843200.

The previous prime is 616954538746079. The next prime is 616954538746171. The reversal of 616954538746128 is 821647835459616.

It is a super-2 number, since 2×616954538746128² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 616954538746128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71847423 + ... + 79974753.

It is an arithmetic number, because the mean of its divisors is an integer number (10974824039520).

Almost surely, 2^{616954538746128} 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 616954538746128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877985923161600).

616954538746128 is an abundant number, since it is smaller than the sum of its proper divisors (1139017307577072).

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

616954538746128 is a wasteful number, since it uses less digits than its factorization.

616954538746128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128781 (or 8128775 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 75.

The spelling of 616954538746128 in words is "six hundred sixteen trillion, nine hundred fifty-four billion, five hundred thirty-eight million, seven hundred forty-six thousand, one hundred twenty-eight".