11011101000000 has 784 divisors, whose sum is σ = 37286087731968. Its totient is φ = 2867097600000.

The previous prime is 11011100999869. The next prime is 11011101000019. The reversal of 11011101000000 is 10111011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30002999817 + ... + 30003000183.

Almost surely, 2^{11011101000000} is an apocalyptic number.

11011101000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643043865984).

11011101000000 is an abundant number, since it is smaller than the sum of its proper divisors (26274986731968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11011101000000 is an frugal number, since it uses more digits than its factorization.

11011101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11011101000000 its reverse (10111011), we get a palindrome (11011111111011).

It can be divided in two parts, 1101 and 1101000000, that multiplied together give a square (1212201000000 = 1101000²).

The spelling of 11011101000000 in words is "eleven trillion, eleven billion, one hundred one million", and thus it is an aban number.