44968560000 has 1280 divisors, whose sum is σ = 192718310400. Its totient is φ = 9031680000.

The previous prime is 44968559989. The next prime is 44968560037. The reversal of 44968560000 is 6586944.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 633359965 + ... + 633360035.

It is an arithmetic number, because the mean of its divisors is an integer number (150561180).

Almost surely, 2^44968560000 is an apocalyptic number.

44968560000 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 44968560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96359155200).

44968560000 is an abundant number, since it is smaller than the sum of its proper divisors (147749750400).

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

44968560000 is a wasteful number, since it uses less digits than its factorization.

44968560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 44968560000 in words is "forty-four billion, nine hundred sixty-eight million, five hundred sixty thousand".