448311213858816 has 3360 divisors, whose sum is σ = 1797811416035712. Its totient is φ = 108118419701760.

The previous prime is 448311213858803. The next prime is 448311213858829. The reversal of 448311213858816 is 618858312113844.

448311213858816 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 1 + 1 + 2 + 1 + 38 + 588 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (448311213858803) and next prime (448311213858829).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1432304197476 + ... + 1432304197788.

Almost surely, 2^{448311213858816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448311213858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898905708017856).

448311213858816 is an abundant number, since it is smaller than the sum of its proper divisors (1349500202176896).

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

448311213858816 is a wasteful number, since it uses less digits than its factorization.

448311213858816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 450 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 448311213858816 in words is "four hundred forty-eight trillion, three hundred eleven billion, two hundred thirteen million, eight hundred fifty-eight thousand, eight hundred sixteen".