30146699341201 has 9 divisors (see below), whose sum is σ = 31816986691401. Its totient is φ = 28559932124004.

The previous prime is 30146699341169. The next prime is 30146699341211. The reversal of 30146699341201 is 10214399664103.

It is a happy number.

The square root of 30146699341201 is 5490601.

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

It is not a de Polignac number, because 30146699341201 - 2⁵ = 30146699341169 is a prime.

It is a super-2 number, since 2×30146699341201² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30146699341211) 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 8 ways as a sum of consecutive naturals, for example, 104176930 + ... + 104465908.

It is an arithmetic number, because the mean of its divisors is an integer number (3535220743489).

Almost surely, 2^{30146699341201} is an apocalyptic number.

30146699341201 is the 5490601-st square number.

30146699341201 is the 2745301-st centered octagonal number.

It is an amenable number.

30146699341201 is a deficient number, since it is larger than the sum of its proper divisors (1670287350200).

30146699341201 is an frugal number, since it uses more digits than its factorization.

30146699341201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577996 (or 288998 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The spelling of 30146699341201 in words is "thirty trillion, one hundred forty-six billion, six hundred ninety-nine million, three hundred forty-one thousand, two hundred one".