44214613248 has 288 divisors, whose sum is σ = 129245880960. Its totient is φ = 13337395200.

The previous prime is 44214613243. The next prime is 44214613249. The reversal of 44214613248 is 84231641244.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44214613243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164366458 + ... + 164366726.

It is an arithmetic number, because the mean of its divisors is an integer number (448770420).

Almost surely, 2^44214613248 is an apocalyptic number.

44214613248 is a gapful number since it is divisible by the number (48) 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 44214613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64622940480).

44214613248 is an abundant number, since it is smaller than the sum of its proper divisors (85031267712).

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

44214613248 is a wasteful number, since it uses less digits than its factorization.

44214613248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The spelling of 44214613248 in words is "forty-four billion, two hundred fourteen million, six hundred thirteen thousand, two hundred forty-eight".