64711224144 has 120 divisors (see below), whose sum is σ = 207885712320. Its totient is φ = 18407407104.

The previous prime is 64711224121. The next prime is 64711224173. The reversal of 64711224144 is 44142211746.

64711224144 is a `hidden beast` number, since 647 + 1 + 1 + 2 + 2 + 4 + 1 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64711224099 and 64711224108.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 87412 + ... + 370220.

It is an arithmetic number, because the mean of its divisors is an integer number (1732380936).

Almost surely, 2^64711224144 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 64711224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103942856160).

64711224144 is an abundant number, since it is smaller than the sum of its proper divisors (143174488176).

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

64711224144 is a wasteful number, since it uses less digits than its factorization.

64711224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283057 (or 283048 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 64711224144 in words is "sixty-four billion, seven hundred eleven million, two hundred twenty-four thousand, one hundred forty-four".