434056541340565 has 64 divisors (see below), whose sum is σ = 612880577084160. Its totient is φ = 290941461135360.

The previous prime is 434056541340493. The next prime is 434056541340601. The reversal of 434056541340565 is 565043145650434.

It is not a de Polignac number, because 434056541340565 - 2¹¹ = 434056541338517 is a prime.

It is a super-2 number, since 2×434056541340565² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2839994389 + ... + 2840147221.

It is an arithmetic number, because the mean of its divisors is an integer number (9576259016940).

Almost surely, 2^{434056541340565} is an apocalyptic number.

It is an amenable number.

434056541340565 is a deficient number, since it is larger than the sum of its proper divisors (178824035743595).

434056541340565 is a wasteful number, since it uses less digits than its factorization.

434056541340565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159014.

The product of its (nonzero) digits is 51840000, while the sum is 55.

Adding to 434056541340565 its reverse (565043145650434), we get a palindrome (999099686990999).

The spelling of 434056541340565 in words is "four hundred thirty-four trillion, fifty-six billion, five hundred forty-one million, three hundred forty thousand, five hundred sixty-five".