249014209987201 has 8 divisors (see below), whose sum is σ = 255088404169704. Its totient is φ = 242940048036480.

The previous prime is 249014209987141. The next prime is 249014209987253. The reversal of 249014209987201 is 102789902410942.

It can be written as a sum of positive squares in 4 ways, for example, as 134084862976 + 248880125124225 = 366176^2 + 15775935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 249014209987201 - 2⁷ = 249014209987073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249014209985201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7965931 + ... + 23695663.

It is an arithmetic number, because the mean of its divisors is an integer number (31886050521213).

Almost surely, 2^{249014209987201} is an apocalyptic number.

It is an amenable number.

249014209987201 is a deficient number, since it is larger than the sum of its proper divisors (6074194182503).

249014209987201 is a wasteful number, since it uses less digits than its factorization.

249014209987201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16115891.

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 249014209987201 in words is "two hundred forty-nine trillion, fourteen billion, two hundred nine million, nine hundred eighty-seven thousand, two hundred one".