11608207416 has 256 divisors, whose sum is σ = 35860070400. Its totient is φ = 3456649728.

The previous prime is 11608207361. The next prime is 11608207441. The reversal of 11608207416 is 61470280611.

It is a happy number.

11608207416 is a `hidden beast` number, since 1 + 1 + 608 + 2 + 0 + 7 + 41 + 6 = 666.

11608207416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15334110 + ... + 15334866.

It is an arithmetic number, because the mean of its divisors is an integer number (140078400).

Almost surely, 2^11608207416 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 11608207416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930035200).

11608207416 is an abundant number, since it is smaller than the sum of its proper divisors (24251862984).

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

11608207416 is a wasteful number, since it uses less digits than its factorization.

11608207416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

It can be divided in two parts, 11608 and 207416, that added together give a square (219024 = 468²).

The spelling of 11608207416 in words is "eleven billion, six hundred eight million, two hundred seven thousand, four hundred sixteen".