152444729616201 has 81 divisors (see below), whose sum is σ = 243904644771879. Its totient is φ = 91682776785600.

The previous prime is 152444729616187. The next prime is 152444729616229. The reversal of 152444729616201 is 102616927444251.

The square root of 152444729616201 is 12346851.

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

152444729616201 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 4 + 4 + 7 + 2 + 9 + 6 + 1 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89546760297225 + 62897969318976 = 9462915^2 + 7930824^2 .

It is not a de Polignac number, because 152444729616201 - 2⁵ = 152444729616169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152444729614201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55820112006 + ... + 55820114736.

Almost surely, 2^{152444729616201} is an apocalyptic number.

152444729616201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152444729616201 is the 12346851-st square number.

152444729616201 is the 6173426-th centered octagonal number.

It is an amenable number.

152444729616201 is a deficient number, since it is larger than the sum of its proper divisors (91459915155678).

152444729616201 is an frugal number, since it uses more digits than its factorization.

152444729616201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 152444729616201 in words is "one hundred fifty-two trillion, four hundred forty-four billion, seven hundred twenty-nine million, six hundred sixteen thousand, two hundred one".