74216433461247 has 128 divisors (see below), whose sum is σ = 139445157795840. Its totient is φ = 37890094464000.

The previous prime is 74216433461239. The next prime is 74216433461263.

It is a happy number.

74216433461247 is a `hidden beast` number, since 7 + 4 + 2 + 1 + 6 + 4 + 334 + 61 + 247 = 666.

74216433461247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 74216433461247 - 2³ = 74216433461239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 74216433461193 and 74216433461202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74216433461237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151049797 + ... + 151540337.

It is an arithmetic number, because the mean of its divisors is an integer number (1089415295280).

Almost surely, 2^{74216433461247} is an apocalyptic number.

74216433461247 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

74216433461247 is a deficient number, since it is larger than the sum of its proper divisors (65228724334593).

74216433461247 is a wasteful number, since it uses less digits than its factorization.

74216433461247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491822 (or 491816 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 74216433461247 in words is "seventy-four trillion, two hundred sixteen billion, four hundred thirty-three million, four hundred sixty-one thousand, two hundred forty-seven".