11742317122536 has 640 divisors, whose sum is σ = 45681943507200. Its totient is φ = 2718255697920.

The previous prime is 11742317122513. The next prime is 11742317122537. The reversal of 11742317122536 is 63522171324711.

11742317122536 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 23 + 1 + 71 + 22 + 536 = 666.

11742317122536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11742317122536² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11742317122491 and 11742317122500.

It is not an unprimeable number, because it can be changed into a prime (11742317122537) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18498676 + ... + 19122908.

It is an arithmetic number, because the mean of its divisors is an integer number (71378036730).

Almost surely, 2^{11742317122536} 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 11742317122536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840971753600).

11742317122536 is an abundant number, since it is smaller than the sum of its proper divisors (33939626384664).

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

11742317122536 is a wasteful number, since it uses less digits than its factorization.

11742317122536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624311 (or 624298 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 11742317122536 in words is "eleven trillion, seven hundred forty-two billion, three hundred seventeen million, one hundred twenty-two thousand, five hundred thirty-six".