11361682993152 has 104 divisors (see below), whose sum is σ = 30318933291264. Its totient is φ = 3784125988864.

The previous prime is 11361682993109. The next prime is 11361682993153. The reversal of 11361682993152 is 25139928616311.

It is a junction number, because it is equal to n+sod(n) for n = 11361682993092 and 11361682993101.

It is not an unprimeable number, because it can be changed into a prime (11361682993153) 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, 14650213 + ... + 15406235.

Almost surely, 2^{11361682993152} is an apocalyptic number.

11361682993152 is a gapful number since it is divisible by the number (12) 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 11361682993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159466645632).

11361682993152 is an abundant number, since it is smaller than the sum of its proper divisors (18957250298112).

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

11361682993152 is an equidigital number, since it uses as much as digits as its factorization.

11361682993152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757273 (or 757251 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The spelling of 11361682993152 in words is "eleven trillion, three hundred sixty-one billion, six hundred eighty-two million, nine hundred ninety-three thousand, one hundred fifty-two".