241729638189649 has 9 divisors (see below), whose sum is σ = 241872091962921. Its totient is φ = 241587268294500.

The previous prime is 241729638189587. The next prime is 241729638189661. The reversal of 241729638189649 is 946981836927142.

The square root of 241729638189649 is 15547657.

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

241729638189649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 241729638189649 - 2³¹ = 241727490706001 is a prime.

It is a super-2 number, since 2×241729638189649² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241729638189749) 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, 34997772454 + ... + 34997779360.

It is an arithmetic number, because the mean of its divisors is an integer number (26874676884769).

Almost surely, 2^{241729638189649} is an apocalyptic number.

241729638189649 is the 15547657-th square number.

241729638189649 is the 7773829-th centered octagonal number.

It is an amenable number.

241729638189649 is a deficient number, since it is larger than the sum of its proper divisors (142453773272).

241729638189649 is an frugal number, since it uses more digits than its factorization.

241729638189649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18316 (or 9158 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 79.

The spelling of 241729638189649 in words is "two hundred forty-one trillion, seven hundred twenty-nine billion, six hundred thirty-eight million, one hundred eighty-nine thousand, six hundred forty-nine".