44623968000 has 288 divisors, whose sum is σ = 148988566272. Its totient is φ = 11837952000.

The previous prime is 44623967977. The next prime is 44623968001. The reversal of 44623968000 is 86932644.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44623968001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20254899 + ... + 20257101.

Almost surely, 2^44623968000 is an apocalyptic number.

44623968000 is a gapful number since it is divisible by the number (40) 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 44623968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74494283136).

44623968000 is an abundant number, since it is smaller than the sum of its proper divisors (104364598272).

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

44623968000 is a wasteful number, since it uses less digits than its factorization.

44623968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 44623968000 in words is "forty-four billion, six hundred twenty-three million, nine hundred sixty-eight thousand".