434164243200552 has 40 divisors (see below), whose sum is σ = 1216061884892250. Its totient is φ = 144721414399968.

The previous prime is 434164243200533. The next prime is 434164243200577. The reversal of 434164243200552 is 255002342461434.

434164243200552 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 64 + 2 + 4 + 32 + 0 + 0 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 428089921031556 + 6074322168996 = 20690334^2 + 2464614^2 .

It is a super-4 number, since 4×434164243200552⁴ (a number of 60 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434164243200498 and 434164243200507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 335003273427 + ... + 335003274722.

Almost surely, 2^{434164243200552} is an apocalyptic number.

It is an amenable number.

434164243200552 is an abundant number, since it is smaller than the sum of its proper divisors (781897641691698).

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

434164243200552 is a wasteful number, since it uses less digits than its factorization.

434164243200552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670006548167 (or 670006548154 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 434164243200552 its reverse (255002342461434), we get a palindrome (689166585661986).

The spelling of 434164243200552 in words is "four hundred thirty-four trillion, one hundred sixty-four billion, two hundred forty-three million, two hundred thousand, five hundred fifty-two".