44439216838848 has 252 divisors, whose sum is σ = 138203296292880. Its totient is φ = 13646406039552.

The previous prime is 44439216838799. The next prime is 44439216838859. The reversal of 44439216838848 is 84883861293444.

44439216838848 is a `hidden beast` number, since 4 + 4 + 4 + 392 + 168 + 38 + 8 + 48 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48510238 + ... + 49417826.

It is an arithmetic number, because the mean of its divisors is an integer number (548425778940).

Almost surely, 2^{44439216838848} is an apocalyptic number.

44439216838848 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 44439216838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69101648146440).

44439216838848 is an abundant number, since it is smaller than the sum of its proper divisors (93764079454032).

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

44439216838848 is a wasteful number, since it uses less digits than its factorization.

44439216838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908136 (or 908110 counting only the distinct ones).

The product of its digits is 1019215872, while the sum is 72.

The spelling of 44439216838848 in words is "forty-four trillion, four hundred thirty-nine billion, two hundred sixteen million, eight hundred thirty-eight thousand, eight hundred forty-eight".