44748986668848 has 320 divisors, whose sum is σ = 160191301386240. Its totient is φ = 11619438854400.

The previous prime is 44748986668843. The next prime is 44748986668891. The reversal of 44748986668848 is 84886668984744.

It is a happy number.

It is a super-3 number, since 3×44748986668848³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (44748986668843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105801313 + ... + 106223423.

It is an arithmetic number, because the mean of its divisors is an integer number (500597816832).

Almost surely, 2^{44748986668848} is an apocalyptic number.

44748986668848 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 44748986668848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80095650693120).

44748986668848 is an abundant number, since it is smaller than the sum of its proper divisors (115442314717392).

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

44748986668848 is a wasteful number, since it uses less digits than its factorization.

44748986668848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425333 (or 425321 counting only the distinct ones).

The product of its digits is 114152177664, while the sum is 90.

The spelling of 44748986668848 in words is "forty-four trillion, seven hundred forty-eight billion, nine hundred eighty-six million, six hundred sixty-eight thousand, eight hundred forty-eight".