64115144000 has 224 divisors, whose sum is σ = 166154526720. Its totient is φ = 24482304000.

The previous prime is 64115143999. The next prime is 64115144033. The reversal of 64115144000 is 44151146.

It is a super-2 number, since 2×64115144000² (a number of 22 digits) contains 22 as substring.

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, 15413921 + ... + 15418079.

It is an arithmetic number, because the mean of its divisors is an integer number (741761280).

Almost surely, 2^64115144000 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 64115144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83077263360).

64115144000 is an abundant number, since it is smaller than the sum of its proper divisors (102039382720).

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

64115144000 is a wasteful number, since it uses less digits than its factorization.

64115144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 64115144000 its reverse (44151146), we get a palindrome (64159295146).

The spelling of 64115144000 in words is "sixty-four billion, one hundred fifteen million, one hundred forty-four thousand".