11109461126401 has 12 divisors (see below), whose sum is σ = 12135752181360. Its totient is φ = 10085911721480.

The previous prime is 11109461126371. The next prime is 11109461126453. The reversal of 11109461126401 is 10462116490111.

It is not a de Polignac number, because 11109461126401 - 2¹³ = 11109461118209 is a prime.

It is a super-3 number, since 3×11109461126401³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11109461126801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5157810 + ... + 6987268.

It is an arithmetic number, because the mean of its divisors is an integer number (1011312681780).

Almost surely, 2^{11109461126401} is an apocalyptic number.

11109461126401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11109461126401 is a deficient number, since it is larger than the sum of its proper divisors (1026291054959).

11109461126401 is an frugal number, since it uses more digits than its factorization.

11109461126401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830956 (or 1830213 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 11109461126401 in words is "eleven trillion, one hundred nine billion, four hundred sixty-one million, one hundred twenty-six thousand, four hundred one".