64105577550146 has 64 divisors (see below), whose sum is σ = 105649488000000. Its totient is φ = 28931377590720.

The previous prime is 64105577550107. The next prime is 64105577550149.

64105577550146 is nontrivially palindromic in base 10.

64105577550146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64105577550146² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64105577550091 and 64105577550100.

It is not an unprimeable number, because it can be changed into a prime (64105577550149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11150732480 + ... + 11150738228.

It is an arithmetic number, because the mean of its divisors is an integer number (1650773250000).

Almost surely, 2^{64105577550146} is an apocalyptic number.

64105577550146 is a deficient number, since it is larger than the sum of its proper divisors (41543910449854).

64105577550146 is a wasteful number, since it uses less digits than its factorization.

64105577550146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10887.

The product of its (nonzero) digits is 17640000, while the sum is 56.

The spelling of 64105577550146 in words is "sixty-four trillion, one hundred five billion, five hundred seventy-seven million, five hundred fifty thousand, one hundred forty-six".