44462820864 has 640 divisors, whose sum is σ = 155574042624. Its totient is φ = 10948608000.

The previous prime is 44462820859. The next prime is 44462820877. The reversal of 44462820864 is 46802826444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 245650854 + ... + 245651034.

Almost surely, 2^44462820864 is an apocalyptic number.

44462820864 is a gapful number since it is divisible by the number (44) 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 44462820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77787021312).

44462820864 is an abundant number, since it is smaller than the sum of its proper divisors (111111221760).

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

44462820864 is a wasteful number, since it uses less digits than its factorization.

44462820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 44462820864 in words is "forty-four billion, four hundred sixty-two million, eight hundred twenty thousand, eight hundred sixty-four".