60141616128 has 440 divisors, whose sum is σ = 202766485680. Its totient is φ = 17588551680.

The previous prime is 60141616121. The next prime is 60141616141. The reversal of 60141616128 is 82161614106.

60141616128 is a `hidden beast` number, since 6 + 0 + 14 + 1 + 616 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60141616092 and 60141616101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60141616121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26458000 + ... + 26460272.

It is an arithmetic number, because the mean of its divisors is an integer number (460832922).

Almost surely, 2^60141616128 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 60141616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101383242840).

60141616128 is an abundant number, since it is smaller than the sum of its proper divisors (142624869552).

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

60141616128 is a wasteful number, since it uses less digits than its factorization.

60141616128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 60141616128 in words is "sixty billion, one hundred forty-one million, six hundred sixteen thousand, one hundred twenty-eight".