64428145929 has 189 divisors, whose sum is σ = 120898018647. Its totient is φ = 34211818368.

The previous prime is 64428145889. The next prime is 64428145933. The reversal of 64428145929 is 92954182446.

The square root of 64428145929 is 253827.

It is a perfect power (a square), and thus also a powerful number.

64428145929 is a `hidden beast` number, since 6 + 4 + 42 + 8 + 1 + 4 + 592 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50160321225 + 14267824704 = 223965^2 + 119448^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 64428145929 - 2⁷ = 64428145801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64428145949) 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 188 ways as a sum of consecutive naturals, for example, 815546112 + ... + 815546190.

Almost surely, 2^64428145929 is an apocalyptic number.

64428145929 is the 253827-th square number.

64428145929 is the 126914-th centered octagonal number.

It is an amenable number.

64428145929 is a deficient number, since it is larger than the sum of its proper divisors (56469872718).

64428145929 is an frugal number, since it uses more digits than its factorization.

64428145929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 106 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 64428145929 in words is "sixty-four billion, four hundred twenty-eight million, one hundred forty-five thousand, nine hundred twenty-nine".