44820468000 has 2304 divisors, whose sum is σ = 223719874560. Its totient is φ = 8211456000.

The previous prime is 44820467999. The next prime is 44820468001. The reversal of 44820468000 is 86402844.

44820468000 is a `hidden beast` number, since 448 + 204 + 6 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (44820467999) and next prime (44820468001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44820468001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1211363982 + ... + 1211364018.

It is an arithmetic number, because the mean of its divisors is an integer number (97100640).

Almost surely, 2^44820468000 is an apocalyptic number.

44820468000 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 44820468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111859937280).

44820468000 is an abundant number, since it is smaller than the sum of its proper divisors (178899406560).

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

44820468000 is a wasteful number, since it uses less digits than its factorization.

44820468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 44820468000 in words is "forty-four billion, eight hundred twenty million, four hundred sixty-eight thousand".