11978233344 has 800 divisors, whose sum is σ = 46391887872. Its totient is φ = 3010867200.

The previous prime is 11978233343. The next prime is 11978233349. The reversal of 11978233344 is 44333287911.

11978233344 is a `hidden beast` number, since 1 + 1 + 9 + 78 + 233 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (435456) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11978233344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11978233343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 386394609 + ... + 386394639.

Almost surely, 2^11978233344 is an apocalyptic number.

11978233344 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 11978233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23195943936).

11978233344 is an abundant number, since it is smaller than the sum of its proper divisors (34413654528).

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

11978233344 is an frugal number, since it uses more digits than its factorization.

11978233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 11978233344 in words is "eleven billion, nine hundred seventy-eight million, two hundred thirty-three thousand, three hundred forty-four".