64005458013 has 48 divisors (see below), whose sum is σ = 110372209920. Its totient is φ = 36551995200.

The previous prime is 64005457987. The next prime is 64005458017. The reversal of 64005458013 is 31085450046.

It is a happy number.

64005458013 is a `hidden beast` number, since 64 + 0 + 0 + 5 + 4 + 580 + 13 = 666.

It is not a de Polignac number, because 64005458013 - 2¹³ = 64005449821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64005458017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2262828 + ... + 2290938.

It is an arithmetic number, because the mean of its divisors is an integer number (2299421040).

Almost surely, 2^64005458013 is an apocalyptic number.

64005458013 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

64005458013 is a deficient number, since it is larger than the sum of its proper divisors (46366751907).

64005458013 is a wasteful number, since it uses less digits than its factorization.

64005458013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29855 (or 29842 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 64005458013 its sum of digits (36), we get a square (64005458049 = 252993²).

The spelling of 64005458013 in words is "sixty-four billion, five million, four hundred fifty-eight thousand, thirteen".