249988435133749 has 128 divisors (see below), whose sum is σ = 301297550400000. Its totient is φ = 205297340645376.

The previous prime is 249988435133687. The next prime is 249988435133753. The reversal of 249988435133749 is 947331534889942.

It is not a de Polignac number, because 249988435133749 - 2¹⁵ = 249988435100981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249988435143749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35424176029 + ... + 35424183085.

It is an arithmetic number, because the mean of its divisors is an integer number (2353887112500).

Almost surely, 2^{249988435133749} is an apocalyptic number.

249988435133749 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

249988435133749 is the 9999769-th heptagonal number.

It is an amenable number.

249988435133749 is a deficient number, since it is larger than the sum of its proper divisors (51309115266251).

249988435133749 is a wasteful number, since it uses less digits than its factorization.

249988435133749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055.

The product of its digits is 5643509760, while the sum is 79.

The spelling of 249988435133749 in words is "two hundred forty-nine trillion, nine hundred eighty-eight billion, four hundred thirty-five million, one hundred thirty-three thousand, seven hundred forty-nine".