11251648311101 has 8 divisors (see below), whose sum is σ = 12282802269024. Its totient is φ = 10221873826320.

The previous prime is 11251648311097. The next prime is 11251648311139. The reversal of 11251648311101 is 10111384615211.

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 11251648311101 - 2² = 11251648311097 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 (11251648310101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344851226 + ... + 344883851.

It is an arithmetic number, because the mean of its divisors is an integer number (1535350283628).

Almost surely, 2^{11251648311101} is an apocalyptic number.

11251648311101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11251648311101 is a deficient number, since it is larger than the sum of its proper divisors (1031153957923).

11251648311101 is a wasteful number, since it uses less digits than its factorization.

11251648311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689736571.

The product of its (nonzero) digits is 5760, while the sum is 35.

The spelling of 11251648311101 in words is "eleven trillion, two hundred fifty-one billion, six hundred forty-eight million, three hundred eleven thousand, one hundred one".