65414512128 has 320 divisors, whose sum is σ = 207289589760. Its totient is φ = 17935368192.

The previous prime is 65414512087. The next prime is 65414512133. The reversal of 65414512128 is 82121541456.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60178401 + ... + 60179487.

It is an arithmetic number, because the mean of its divisors is an integer number (647779968).

Almost surely, 2^65414512128 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 65414512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103644794880).

65414512128 is an abundant number, since it is smaller than the sum of its proper divisors (141875077632).

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

65414512128 is a wasteful number, since it uses less digits than its factorization.

65414512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1321 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The spelling of 65414512128 in words is "sixty-five billion, four hundred fourteen million, five hundred twelve thousand, one hundred twenty-eight".