434148435012127 has 32 divisors (see below), whose sum is σ = 483045513361920. Its totient is φ = 386861967360000.

The previous prime is 434148435012073. The next prime is 434148435012137. The reversal of 434148435012127 is 721210534841434.

It is not a de Polignac number, because 434148435012127 - 2³¹ = 434146287528479 is a prime.

It is a super-2 number, since 2×434148435012127² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434148435012137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3299160102 + ... + 3299291692.

It is an arithmetic number, because the mean of its divisors is an integer number (15095172292560).

Almost surely, 2^{434148435012127} is an apocalyptic number.

434148435012127 is a deficient number, since it is larger than the sum of its proper divisors (48897078349793).

434148435012127 is a wasteful number, since it uses less digits than its factorization.

434148435012127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146415.

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 434148435012127 in words is "four hundred thirty-four trillion, one hundred forty-eight billion, four hundred thirty-five million, twelve thousand, one hundred twenty-seven".