434386606797 has 384 divisors, whose sum is σ = 834898821120. Its totient is φ = 215277004800.

The previous prime is 434386606781. The next prime is 434386606813. The reversal of 434386606797 is 797606683434.

434386606797 is a `hidden beast` number, since 434 + 3 + 86 + 60 + 67 + 9 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (434386606781) and next prime (434386606813).

It is not a de Polignac number, because 434386606797 - 2⁴ = 434386606781 is a prime.

It is a super-2 number, since 2×434386606797² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434386606097) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5498564604 + ... + 5498564682.

It is an arithmetic number, because the mean of its divisors is an integer number (2174215680).

Almost surely, 2^434386606797 is an apocalyptic number.

It is an amenable number.

434386606797 is a deficient number, since it is larger than the sum of its proper divisors (400512214323).

434386606797 is a wasteful number, since it uses less digits than its factorization.

434386606797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 434386606797 in words is "four hundred thirty-four billion, three hundred eighty-six million, six hundred six thousand, seven hundred ninety-seven".