34064415125 has 32 divisors (see below), whose sum is σ = 48475705824. Its totient is φ = 23675520000.

The previous prime is 34064415109. The next prime is 34064415173. The reversal of 34064415125 is 52151446043.

It can be written as a sum of positive squares in 16 ways, for example, as 31931545636 + 2132869489 = 178694^2 + 46183^2 .

It is not a de Polignac number, because 34064415125 - 2⁴ = 34064415109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588926 + ... + 644175.

It is an arithmetic number, because the mean of its divisors is an integer number (1514865807).

Almost surely, 2^34064415125 is an apocalyptic number.

It is an amenable number.

34064415125 is a deficient number, since it is larger than the sum of its proper divisors (14411290699).

34064415125 is a wasteful number, since it uses less digits than its factorization.

34064415125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233146 (or 1233136 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 34064415125 in words is "thirty-four billion, sixty-four million, four hundred fifteen thousand, one hundred twenty-five".