8914197381120 has 1536 divisors, whose sum is σ = 33856173711360. Its totient is φ = 2247370997760.

The previous prime is 8914197381109. The next prime is 8914197381121. The reversal of 8914197381120 is 211837914198.

8914197381120 is a `hidden beast` number, since 89 + 1 + 419 + 7 + 38 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8914197381121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70190530497 + ... + 70190530623.

It is an arithmetic number, because the mean of its divisors is an integer number (22041779760).

Almost surely, 2^{8914197381120} is an apocalyptic number.

8914197381120 is a gapful number since it is divisible by the number (80) 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 8914197381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928086855680).

8914197381120 is an abundant number, since it is smaller than the sum of its proper divisors (24941976330240).

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

8914197381120 is an equidigital number, since it uses as much as digits as its factorization.

8914197381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 8914197381120 in words is "eight trillion, nine hundred fourteen billion, one hundred ninety-seven million, three hundred eighty-one thousand, one hundred twenty".