34151006741747 has 16 divisors (see below), whose sum is σ = 39432490706112. Its totient is φ = 28970221086720.

The previous prime is 34151006741743. The next prime is 34151006741749. The reversal of 34151006741747 is 74714760015143.

It is a cyclic number.

It is not a de Polignac number, because 34151006741747 - 2² = 34151006741743 is a prime.

It is a super-2 number, since 2×34151006741747² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34151006741695 and 34151006741704.

It is not an unprimeable number, because it can be changed into a prime (34151006741743) 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 15 ways as a sum of consecutive naturals, for example, 90262847 + ... + 90640407.

It is an arithmetic number, because the mean of its divisors is an integer number (2464530669132).

Almost surely, 2^{34151006741747} is an apocalyptic number.

34151006741747 is a deficient number, since it is larger than the sum of its proper divisors (5281483964365).

34151006741747 is a wasteful number, since it uses less digits than its factorization.

34151006741747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510878.

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 34151006741747 in words is "thirty-four trillion, one hundred fifty-one billion, six million, seven hundred forty-one thousand, seven hundred forty-seven".