64049617152 has 216 divisors, whose sum is σ = 191492978040. Its totient is φ = 20564705280.

The previous prime is 64049617147. The next prime is 64049617153. The reversal of 64049617152 is 25171694046.

64049617152 is a `hidden beast` number, since 6 + 4 + 0 + 496 + 1 + 7 + 152 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5128851456 + 58920765696 = 71616^2 + 242736^2 .

It is a super-2 number, since 2×64049617152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64049617098 and 64049617107.

It is not an unprimeable number, because it can be changed into a prime (64049617153) 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 23 ways as a sum of consecutive naturals, for example, 37215652 + ... + 37217372.

It is an arithmetic number, because the mean of its divisors is an integer number (886541565).

Almost surely, 2^64049617152 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 64049617152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95746489020).

64049617152 is an abundant number, since it is smaller than the sum of its proper divisors (127443360888).

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

64049617152 is a wasteful number, since it uses less digits than its factorization.

64049617152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 64049617152 in words is "sixty-four billion, forty-nine million, six hundred seventeen thousand, one hundred fifty-two".