9148435868880 has 480 divisors, whose sum is σ = 39540260118528. Its totient is φ = 1839651609600.

The previous prime is 9148435868861. The next prime is 9148435868899. The reversal of 9148435868880 is 888685348419.

9148435868880 is a `hidden beast` number, since 9 + 1 + 484 + 3 + 5 + 8 + 68 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9148435868861) and next prime (9148435868899).

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 = 9148435868799 and 9148435868808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942894 + ... + 4380173.

Almost surely, 2^{9148435868880} is an apocalyptic number.

9148435868880 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 9148435868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770130059264).

9148435868880 is an abundant number, since it is smaller than the sum of its proper divisors (30391824249648).

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

9148435868880 is a wasteful number, since it uses less digits than its factorization.

9148435868880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323135 (or 5323126 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 9148435868880 in words is "nine trillion, one hundred forty-eight billion, four hundred thirty-five million, eight hundred sixty-eight thousand, eight hundred eighty".