11706073416 has 192 divisors, whose sum is σ = 33611760000. Its totient is φ = 3674969088.

The previous prime is 11706073373. The next prime is 11706073441. The reversal of 11706073416 is 61437060711.

11706073416 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 607 + 3 + 41 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20572780 + ... + 20573348.

It is an arithmetic number, because the mean of its divisors is an integer number (175061250).

Almost surely, 2^11706073416 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 11706073416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880000).

11706073416 is an abundant number, since it is smaller than the sum of its proper divisors (21905686584).

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

11706073416 is a wasteful number, since it uses less digits than its factorization.

11706073416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11706073416 in words is "eleven billion, seven hundred six million, seventy-three thousand, four hundred sixteen".