434365356096 has 189 divisors, whose sum is σ = 1448669324271. Its totient is φ = 124072752384.

The previous prime is 434365356077. The next prime is 434365356097. The reversal of 434365356096 is 690653563434.

The square root of 434365356096 is 659064.

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

434365356096 is a `hidden beast` number, since 4 + 3 + 43 + 6 + 535 + 60 + 9 + 6 = 666.

It is a super-2 number, since 2×434365356096² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434365356097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110720791 + ... + 110724713.

Almost surely, 2^434365356096 is an apocalyptic number.

434365356096 is the 659064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434365356096

434365356096 is an abundant number, since it is smaller than the sum of its proper divisors (1014303968175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434365356096 is an frugal number, since it uses more digits than its factorization.

434365356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 434365356096 in words is "four hundred thirty-four billion, three hundred sixty-five million, three hundred fifty-six thousand, ninety-six".