8381244746160 has 480 divisors, whose sum is σ = 34292565635328. Its totient is φ = 1875522677760.

The previous prime is 8381244746153. The next prime is 8381244746177. The reversal of 8381244746160 is 616474421838.

8381244746160 is a `hidden beast` number, since 8 + 3 + 8 + 1 + 2 + 4 + 474 + 6 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8381244746097 and 8381244746106.

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, 1272459 + ... + 4287381.

Almost surely, 2^{8381244746160} is an apocalyptic number.

8381244746160 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 8381244746160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146282817664).

8381244746160 is an abundant number, since it is smaller than the sum of its proper divisors (25911320889168).

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

8381244746160 is a wasteful number, since it uses less digits than its factorization.

8381244746160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014975 (or 3014957 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 8381244746160 in words is "eight trillion, three hundred eighty-one billion, two hundred forty-four million, seven hundred forty-six thousand, one hundred sixty".