11607609384 has 384 divisors, whose sum is σ = 39400058880. Its totient is φ = 3011788800.

The previous prime is 11607609311. The next prime is 11607609413. The reversal of 11607609384 is 48390670611.

It is a happy number.

11607609384 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 7 + 609 + 38 + 4 = 666.

It is a super-2 number, since 2×11607609384² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60772729 + ... + 60772919.

It is an arithmetic number, because the mean of its divisors is an integer number (102604320).

Almost surely, 2^11607609384 is an apocalyptic number.

11607609384 is a gapful number since it is divisible by the number (14) 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 11607609384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19700029440).

11607609384 is an abundant number, since it is smaller than the sum of its proper divisors (27792449496).

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

11607609384 is a wasteful number, since it uses less digits than its factorization.

11607609384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11607609384 in words is "eleven billion, six hundred seven million, six hundred nine thousand, three hundred eighty-four".