74294950041 has 81 divisors (see below), whose sum is σ = 120851613207. Its totient is φ = 43960250880.

The previous prime is 74294950031. The next prime is 74294950057. The reversal of 74294950041 is 14005949247.

The square root of 74294950041 is 272571.

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

It can be written as a sum of positive squares in 13 ways, for example, as 44675163225 + 29619786816 = 211365^2 + 172104^2 .

It is not a de Polignac number, because 74294950041 - 2⁷ = 74294949913 is a prime.

It is a super-3 number, since 3×74294950041³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (74294950001) 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 80 ways as a sum of consecutive naturals, for example, 308277681 + ... + 308277921.

Almost surely, 2^74294950041 is an apocalyptic number.

74294950041 is the 272571-st square number.

74294950041 is the 136286-th centered octagonal number.

It is an amenable number.

74294950041 is a deficient number, since it is larger than the sum of its proper divisors (46556663166).

74294950041 is a wasteful number, since it uses less digits than its factorization.

74294950041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 286 counting only the distinct ones).

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

The spelling of 74294950041 in words is "seventy-four billion, two hundred ninety-four million, nine hundred fifty thousand, forty-one".