11249190401 has 8 divisors (see below), whose sum is σ = 11555381544. Its totient is φ = 10943112960.

The previous prime is 11249190391. The next prime is 11249190409. The reversal of 11249190401 is 10409194211.

It can be written as a sum of positive squares in 4 ways, for example, as 1023936001 + 10225254400 = 31999^2 + 101120^2 .

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 11249190401 - 2¹⁴ = 11249174017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11249190409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195881 + ... + 246713.

It is an arithmetic number, because the mean of its divisors is an integer number (1444422693).

Almost surely, 2^11249190401 is an apocalyptic number.

It is an amenable number.

11249190401 is a deficient number, since it is larger than the sum of its proper divisors (306191143).

11249190401 is an equidigital number, since it uses as much as digits as its factorization.

11249190401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56851.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 11249190401 in words is "eleven billion, two hundred forty-nine million, one hundred ninety thousand, four hundred one".