11612284710348 has 288 divisors, whose sum is σ = 34308609350400. Its totient is φ = 3037831340544.

The previous prime is 11612284710343. The next prime is 11612284710407. The reversal of 11612284710348 is 84301748221611.

It is a super-2 number, since 2×11612284710348² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11612284710297 and 11612284710306.

It is not an unprimeable number, because it can be changed into a prime (11612284710343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39525418 + ... + 39818126.

It is an arithmetic number, because the mean of its divisors is an integer number (119127115800).

Almost surely, 2^{11612284710348} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11612284710348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154304675200).

11612284710348 is an abundant number, since it is smaller than the sum of its proper divisors (22696324640052).

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

11612284710348 is a wasteful number, since it uses less digits than its factorization.

11612284710348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292869 (or 292860 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 11612284710348 in words is "eleven trillion, six hundred twelve billion, two hundred eighty-four million, seven hundred ten thousand, three hundred forty-eight".