9448914746880 has 800 divisors, whose sum is σ = 39723315420096. Its totient is φ = 2101368324096.

The previous prime is 9448914746863. The next prime is 9448914746897. The reversal of 9448914746880 is 886474198449.

9448914746880 is a `hidden beast` number, since 9 + 4 + 4 + 8 + 91 + 474 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9448914746863) and next prime (9448914746897).

It is a super-3 number, since 3×9448914746880³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9448914746799 and 9448914746808.

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, 53618272 + ... + 53794208.

Almost surely, 2^{9448914746880} is an apocalyptic number.

9448914746880 is a gapful number since it is divisible by the number (90) 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 9448914746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19861657710048).

9448914746880 is an abundant number, since it is smaller than the sum of its proper divisors (30274400673216).

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

9448914746880 is a wasteful number, since it uses less digits than its factorization.

9448914746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176016 (or 175991 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 9448914746880 in words is "nine trillion, four hundred forty-eight billion, nine hundred fourteen million, seven hundred forty-six thousand, eight hundred eighty".