249471279841 has 9 divisors (see below), whose sum is σ = 290205351891. Its totient is φ = 213829528752.

The previous prime is 249471279829. The next prime is 249471279847. The reversal of 249471279841 is 148972174942.

The square root of 249471279841 is 499471.

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., 248577030625 + 894249216 = 498575^2 + 29904^2 .

It is not a de Polignac number, because 249471279841 - 2⁷ = 249471279713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249471279847) 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, 3460621 + ... + 3531973.

It is an arithmetic number, because the mean of its divisors is an integer number (32245039099).

Almost surely, 2^249471279841 is an apocalyptic number.

249471279841 is the 499471-st square number.

249471279841 is the 249736-th centered octagonal number.

It is an amenable number.

249471279841 is a deficient number, since it is larger than the sum of its proper divisors (40734072050).

249471279841 is an frugal number, since it uses more digits than its factorization.

249471279841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142720 (or 71360 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 58.

The spelling of 249471279841 in words is "two hundred forty-nine billion, four hundred seventy-one million, two hundred seventy-nine thousand, eight hundred forty-one".