29445806107201 has 27 divisors (see below), whose sum is σ = 32458496633577. Its totient is φ = 26692673736960.

The previous prime is 29445806107199. The next prime is 29445806107321. The reversal of 29445806107201 is 10270160854492.

The square root of 29445806107201 is 5426399.

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 5830288330801 + 23615517776400 = 2414599^2 + 4859580^2 .

It is not a de Polignac number, because 29445806107201 - 2¹ = 29445806107199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29445806104201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40171631431 + ... + 40171632163.

Almost surely, 2^{29445806107201} is an apocalyptic number.

29445806107201 is the 5426399-th square number.

29445806107201 is the 2713200-th centered octagonal number.

It is an amenable number.

29445806107201 is a deficient number, since it is larger than the sum of its proper divisors (3012690526376).

29445806107201 is an frugal number, since it uses more digits than its factorization.

29445806107201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 29445806107201 in words is "twenty-nine trillion, four hundred forty-five billion, eight hundred six million, one hundred seven thousand, two hundred one".