74380016529 has 243 divisors, whose sum is σ = 144430619697. Its totient is φ = 38173052736.

The previous prime is 74380016497. The next prime is 74380016531. The reversal of 74380016529 is 92561008347.

The square root of 74380016529 is 272727.

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

74380016529 is a `hidden beast` number, since 7 + 43 + 80 + 0 + 1 + 6 + 529 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 308950929 + 74071065600 = 17577^2 + 272160^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 74380016529 - 2⁵ = 74380016497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (74380016539) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2010270699 + ... + 2010270735.

It is a 1-persistent number, because it is pandigital, but 2⋅74380016529 = 148760033058 is not.

Almost surely, 2^74380016529 is an apocalyptic number.

74380016529 is the 272727-th square number.

74380016529 is the 136364-th centered octagonal number.

It is an amenable number.

74380016529 is a deficient number, since it is larger than the sum of its proper divisors (70050603168).

74380016529 is an frugal number, since it uses more digits than its factorization.

74380016529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 60 counting only the distinct ones).

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

The spelling of 74380016529 in words is "seventy-four billion, three hundred eighty million, sixteen thousand, five hundred twenty-nine".