30629926493761 has 9 divisors (see below), whose sum is σ = 35630775885411. Its totient is φ = 26254189502352.

The previous prime is 30629926493741. The next prime is 30629926493767. The reversal of 30629926493761 is 16739462992603.

The square root of 30629926493761 is 5534431.

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

It can be written as a sum of positive squares in only one way, i.e., 481656820225 + 30148269673536 = 694015^2 + 5490744^2 .

It is not a de Polignac number, because 30629926493761 - 2¹¹ = 30629926491713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30629926493767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38345701 + ... + 39136333.

It is an arithmetic number, because the mean of its divisors is an integer number (3958975098379).

Almost surely, 2^{30629926493761} is an apocalyptic number.

30629926493761 is the 5534431-st square number.

30629926493761 is the 2767216-th centered octagonal number.

It is an amenable number.

30629926493761 is a deficient number, since it is larger than the sum of its proper divisors (5000849391650).

30629926493761 is an frugal number, since it uses more digits than its factorization.

30629926493761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581280 (or 790640 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 67.

The spelling of 30629926493761 in words is "thirty trillion, six hundred twenty-nine billion, nine hundred twenty-six million, four hundred ninety-three thousand, seven hundred sixty-one".