29655659381401 has 9 divisors (see below), whose sum is σ = 29695995969501. Its totient is φ = 29615377531104.

The previous prime is 29655659381393. The next prime is 29655659381429. The reversal of 29655659381401 is 10418395655692.

It is a happy number.

The square root of 29655659381401 is 5445701.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7818169617801 + 21837489763600 = 2796099^2 + 4673060^2 .

It is not a de Polignac number, because 29655659381401 - 2³ = 29655659381393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29655659384401) 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, 4514482845 + ... + 4514489413.

Almost surely, 2^{29655659381401} is an apocalyptic number.

29655659381401 is the 5445701-st square number.

29655659381401 is the 2722851-st centered octagonal number.

It is an amenable number.

29655659381401 is a deficient number, since it is larger than the sum of its proper divisors (40336588100).

29655659381401 is an frugal number, since it uses more digits than its factorization.

29655659381401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14796 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 64.

The spelling of 29655659381401 in words is "twenty-nine trillion, six hundred fifty-five billion, six hundred fifty-nine million, three hundred eighty-one thousand, four hundred one".