29903387623201 has 9 divisors (see below), whose sum is σ = 30120833257203. Its totient is φ = 29687500699080.

The previous prime is 29903387623141. The next prime is 29903387623211. The reversal of 29903387623201 is 10232678330992.

The square root of 29903387623201 is 5468399.

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., 1264835373201 + 28638552250000 = 1124649^2 + 5351500^2 .

It is not a de Polignac number, because 29903387623201 - 2¹³ = 29903387615009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29903387623211) 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, 760087791 + ... + 760127131.

Almost surely, 2^{29903387623201} is an apocalyptic number.

29903387623201 is the 5468399-th square number.

29903387623201 is the 2734200-th centered octagonal number.

It is an amenable number.

29903387623201 is a deficient number, since it is larger than the sum of its proper divisors (217445634002).

29903387623201 is an frugal number, since it uses more digits than its factorization.

29903387623201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78960 (or 39480 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 29903387623201 in words is "twenty-nine trillion, nine hundred three billion, three hundred eighty-seven million, six hundred twenty-three thousand, two hundred one".