11612388346752 has 512 divisors, whose sum is σ = 34127670228480. Its totient is φ = 3483078230016.

The previous prime is 11612388346717. The next prime is 11612388346753. The reversal of 11612388346752 is 25764388321611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11612388346692 and 11612388346701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11612388346753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9984856123 + ... + 9984857285.

It is an arithmetic number, because the mean of its divisors is an integer number (66655605915).

Almost surely, 2^{11612388346752} is an apocalyptic number.

11612388346752 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 11612388346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063835114240).

11612388346752 is an abundant number, since it is smaller than the sum of its proper divisors (22515281881728).

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

11612388346752 is a wasteful number, since it uses less digits than its factorization.

11612388346752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1906 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 11612388346752 in words is "eleven trillion, six hundred twelve billion, three hundred eighty-eight million, three hundred forty-six thousand, seven hundred fifty-two".