249368399424 has 63 divisors (see below), whose sum is σ = 714803846107. Its totient is φ = 83118804864.

The previous prime is 249368399411. The next prime is 249368399453. The reversal of 249368399424 is 424993863942.

The square root of 249368399424 is 499368.

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

249368399424 is a `hidden beast` number, since 2 + 49 + 3 + 6 + 83 + 99 + 424 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11974429 + ... + 11995235.

Almost surely, 2^249368399424 is an apocalyptic number.

249368399424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

249368399424 is the 499368-th square number.

It is an amenable number.

249368399424 is an abundant number, since it is smaller than the sum of its proper divisors (465435446683).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249368399424 is an frugal number, since it uses more digits than its factorization.

249368399424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41632 (or 20812 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 249368399424 in words is "two hundred forty-nine billion, three hundred sixty-eight million, three hundred ninety-nine thousand, four hundred twenty-four".