34456124442135 has 32 divisors (see below), whose sum is σ = 60142320840960. Its totient is φ = 16705799225600.

The previous prime is 34456124442119. The next prime is 34456124442137. The reversal of 34456124442135 is 53124442165443.

It is not a de Polignac number, because 34456124442135 - 2⁴ = 34456124442119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34456124442137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13028011 + ... + 15448019.

It is an arithmetic number, because the mean of its divisors is an integer number (1879447526280).

Almost surely, 2^{34456124442135} is an apocalyptic number.

34456124442135 is a deficient number, since it is larger than the sum of its proper divisors (25686196398825).

34456124442135 is a wasteful number, since it uses less digits than its factorization.

34456124442135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506319.

The product of its digits is 5529600, while the sum is 48.

The spelling of 34456124442135 in words is "thirty-four trillion, four hundred fifty-six billion, one hundred twenty-four million, four hundred forty-two thousand, one hundred thirty-five".