34056314523 has 144 divisors (see below), whose sum is σ = 66596100480. Its totient is φ = 16525555200.

The previous prime is 34056314519. The next prime is 34056314549. The reversal of 34056314523 is 32541365043.

34056314523 is a `hidden beast` number, since 3 + 40 + 563 + 1 + 4 + 52 + 3 = 666.

It is not a de Polignac number, because 34056314523 - 2² = 34056314519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34056314503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11461428 + ... + 11464398.

It is an arithmetic number, because the mean of its divisors is an integer number (462472920).

Almost surely, 2^34056314523 is an apocalyptic number.

34056314523 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34056314523 is a deficient number, since it is larger than the sum of its proper divisors (32539785957).

34056314523 is a wasteful number, since it uses less digits than its factorization.

34056314523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 34056314523 its reverse (32541365043), we get a palindrome (66597679566).

The spelling of 34056314523 in words is "thirty-four billion, fifty-six million, three hundred fourteen thousand, five hundred twenty-three".