34114051025 has 48 divisors (see below), whose sum is σ = 43845193728. Its totient is φ = 26312832000.

The previous prime is 34114051009. The next prime is 34114051033. The reversal of 34114051025 is 52015041143.

It is not a de Polignac number, because 34114051025 - 2⁴ = 34114051009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34114050985 and 34114051003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65477765 + ... + 65478285.

It is an arithmetic number, because the mean of its divisors is an integer number (913441536).

Almost surely, 2^34114051025 is an apocalyptic number.

It is an amenable number.

34114051025 is a deficient number, since it is larger than the sum of its proper divisors (9731142703).

34114051025 is a wasteful number, since it uses less digits than its factorization.

34114051025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 34114051025 its reverse (52015041143), we get a palindrome (86129092168).

The spelling of 34114051025 in words is "thirty-four billion, one hundred fourteen million, fifty-one thousand, twenty-five".