11486162340 has 384 divisors, whose sum is σ = 39223296000. Its totient is φ = 2780324352.

The previous prime is 11486162293. The next prime is 11486162357. The reversal of 11486162340 is 4326168411.

11486162340 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 616 + 2 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11486162295 and 11486162304.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29989789 + ... + 29990171.

It is an arithmetic number, because the mean of its divisors is an integer number (102144000).

Almost surely, 2^11486162340 is an apocalyptic number.

11486162340 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 11486162340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611648000).

11486162340 is an abundant number, since it is smaller than the sum of its proper divisors (27737133660).

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

11486162340 is a wasteful number, since it uses less digits than its factorization.

11486162340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11486162340 in words is "eleven billion, four hundred eighty-six million, one hundred sixty-two thousand, three hundred forty".