65141016625152 has 960 divisors, whose sum is σ = 216049936502400. Its totient is φ = 19483330609152.

The previous prime is 65141016625147. The next prime is 65141016625159. The reversal of 65141016625152 is 25152661014156.

65141016625152 is a `hidden beast` number, since 6 + 5 + 1 + 4 + 1 + 0 + 1 + 6 + 625 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65141016625098 and 65141016625107.

It is not an unprimeable number, because it can be changed into a prime (65141016625159) 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 47 ways as a sum of consecutive naturals, for example, 61280353773 + ... + 61280354835.

It is an arithmetic number, because the mean of its divisors is an integer number (225052017190).

Almost surely, 2^{65141016625152} 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 65141016625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108024968251200).

65141016625152 is an abundant number, since it is smaller than the sum of its proper divisors (150908919877248).

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

65141016625152 is an frugal number, since it uses more digits than its factorization.

65141016625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 65141016625152 in words is "sixty-five trillion, one hundred forty-one billion, sixteen million, six hundred twenty-five thousand, one hundred fifty-two".