249091398401 has 8 divisors (see below), whose sum is σ = 258662237064. Its totient is φ = 239687009280.

The previous prime is 249091398371. The next prime is 249091398427. The reversal of 249091398401 is 104893190942.

It can be written as a sum of positive squares in 4 ways, for example, as 57002040001 + 192089358400 = 238751^2 + 438280^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 249091398401 - 2¹⁴ = 249091382017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 249091398401.

It is not an unprimeable number, because it can be changed into a prime (249091398461) 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, 41609336 + ... + 41615321.

It is an arithmetic number, because the mean of its divisors is an integer number (32332779633).

Almost surely, 2^249091398401 is an apocalyptic number.

It is an amenable number.

249091398401 is a deficient number, since it is larger than the sum of its proper divisors (9570838663).

249091398401 is an equidigital number, since it uses as much as digits as its factorization.

249091398401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83224771.

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 249091398401 in words is "two hundred forty-nine billion, ninety-one million, three hundred ninety-eight thousand, four hundred one".