9448159458816 has 800 divisors, whose sum is σ = 32043853749600. Its totient is φ = 2747583037440.

The previous prime is 9448159458781. The next prime is 9448159458823. The reversal of 9448159458816 is 6188549518449.

It is a happy number.

9448159458816 is a `hidden beast` number, since 9 + 4 + 4 + 8 + 159 + 458 + 8 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5828598486 + ... + 5828600106.

It is an arithmetic number, because the mean of its divisors is an integer number (40054817187).

Almost surely, 2^{9448159458816} is an apocalyptic number.

9448159458816 is a gapful number since it is divisible by the number (96) 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 9448159458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021926874800).

9448159458816 is an abundant number, since it is smaller than the sum of its proper divisors (22595694290784).

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

9448159458816 is a wasteful number, since it uses less digits than its factorization.

9448159458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2227 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 72.

The spelling of 9448159458816 in words is "nine trillion, four hundred forty-eight billion, one hundred fifty-nine million, four hundred fifty-eight thousand, eight hundred sixteen".