11676820344 has 128 divisors (see below), whose sum is σ = 35142144000. Its totient is φ = 3228543360.

The previous prime is 11676820321. The next prime is 11676820349. The reversal of 11676820344 is 44302867611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11676820296 and 11676820305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11676820349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232314 + ... + 278070.

It is an arithmetic number, because the mean of its divisors is an integer number (274548000).

Almost surely, 2^11676820344 is an apocalyptic number.

11676820344 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 11676820344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571072000).

11676820344 is an abundant number, since it is smaller than the sum of its proper divisors (23465323656).

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

11676820344 is a wasteful number, since it uses less digits than its factorization.

11676820344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45818 (or 45800 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 11676820344 in words is "eleven billion, six hundred seventy-six million, eight hundred twenty thousand, three hundred forty-four".