249049403649 has 64 divisors (see below), whose sum is σ = 379229299200. Its totient is φ = 161484192000.

The previous prime is 249049403639. The next prime is 249049403653. The reversal of 249049403649 is 946304940942.

It is a happy number.

249049403649 is a `hidden beast` number, since 2 + 4 + 90 + 494 + 0 + 3 + 64 + 9 = 666.

It is not a de Polignac number, because 249049403649 - 2⁴ = 249049403633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249049403595 and 249049403604.

It is not an unprimeable number, because it can be changed into a prime (249049403639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56949427 + ... + 56953799.

It is an arithmetic number, because the mean of its divisors is an integer number (5925457800).

Almost surely, 2^249049403649 is an apocalyptic number.

249049403649 is the 266753-rd nonagonal number.

It is an amenable number.

249049403649 is a deficient number, since it is larger than the sum of its proper divisors (130179895551).

249049403649 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (249049403648) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4817).

249049403649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 249049403649 in words is "two hundred forty-nine billion, forty-nine million, four hundred three thousand, six hundred forty-nine".