249029942841 has 27 divisors (see below), whose sum is σ = 361480988271. Its totient is φ = 165206544624.

The previous prime is 249029942813. The next prime is 249029942911. The reversal of 249029942841 is 148249920942.

It is a happy number.

The square root of 249029942841 is 499029.

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

249029942841 is a `hidden beast` number, since 2 + 4 + 90 + 2 + 99 + 428 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166892675625 + 82137267216 = 408525^2 + 286596^2 .

It is not a de Polignac number, because 249029942841 - 2⁵ = 249029942809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249029942041) 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, 594343330 + ... + 594343748.

Almost surely, 2^249029942841 is an apocalyptic number.

249029942841 is the 499029-th square number.

249029942841 is the 249515-th centered octagonal number.

It is an amenable number.

249029942841 is a deficient number, since it is larger than the sum of its proper divisors (112451045430).

249029942841 is an frugal number, since it uses more digits than its factorization.

249029942841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 249029942841 in words is "two hundred forty-nine billion, twenty-nine million, nine hundred forty-two thousand, eight hundred forty-one".