44649792000 has 1280 divisors, whose sum is σ = 188441510400. Its totient is φ = 10450944000.

The previous prime is 44649791987. The next prime is 44649792053. The reversal of 44649792000 is 29794644.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1539647986 + ... + 1539648014.

It is an arithmetic number, because the mean of its divisors is an integer number (147219930).

Almost surely, 2^44649792000 is an apocalyptic number.

44649792000 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 44649792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94220755200).

44649792000 is an abundant number, since it is smaller than the sum of its proper divisors (143791718400).

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

44649792000 is an frugal number, since it uses more digits than its factorization.

44649792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 50 counting only the distinct ones).

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

The spelling of 44649792000 in words is "forty-four billion, six hundred forty-nine million, seven hundred ninety-two thousand".