34507149121 has 5 divisors (see below), whose sum is σ = 34587398305. Its totient is φ = 34427086130.

The previous prime is 34507149107. The next prime is 34507149143. The reversal of 34507149121 is 12194170543.

It is a happy number.

The square root of 34507149121 is 185761.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is not a de Polignac number, because 34507149121 - 2¹⁹ = 34506624833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34507144121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 80062776 + ... + 80063206.

It is an arithmetic number, because the mean of its divisors is an integer number (6917479661).

Almost surely, 2^34507149121 is an apocalyptic number.

34507149121 is the 185761-st square number.

34507149121 is the 92881-st centered octagonal number.

It is an amenable number.

34507149121 is a deficient number, since it is larger than the sum of its proper divisors (80249184).

34507149121 is an frugal number, since it uses more digits than its factorization.

34507149121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 34507149121 in words is "thirty-four billion, five hundred seven million, one hundred forty-nine thousand, one hundred twenty-one".