8347145748480 has 3600 divisors, whose sum is σ = 40819369143168. Its totient is φ = 1579784601600.

The previous prime is 8347145748479. The next prime is 8347145748503. The reversal of 8347145748480 is 848475417438.

8347145748480 is a `hidden beast` number, since 8 + 3 + 4 + 7 + 14 + 574 + 8 + 48 + 0 = 666.

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, 269262766065 + ... + 269262766095.

Almost surely, 2^{8347145748480} is an apocalyptic number.

8347145748480 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 8347145748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409684571584).

8347145748480 is an abundant number, since it is smaller than the sum of its proper divisors (32472223394688).

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

8347145748480 is a wasteful number, since it uses less digits than its factorization.

8347145748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 8347145748480 in words is "eight trillion, three hundred forty-seven billion, one hundred forty-five million, seven hundred forty-eight thousand, four hundred eighty".