8180896382048 has 192 divisors, whose sum is σ = 19423658580480. Its totient is φ = 3350688768000.

The previous prime is 8180896382041. The next prime is 8180896382069. The reversal of 8180896382048 is 8402836980818.

It is a super-2 number, since 2×8180896382048² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8180896382041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28207373 + ... + 28495923.

It is an arithmetic number, because the mean of its divisors is an integer number (101164888440).

Almost surely, 2^{8180896382048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8180896382048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9711829290240).

8180896382048 is an abundant number, since it is smaller than the sum of its proper divisors (11242762198432).

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

8180896382048 is a wasteful number, since it uses less digits than its factorization.

8180896382048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288821 (or 288813 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 65.

The spelling of 8180896382048 in words is "eight trillion, one hundred eighty billion, eight hundred ninety-six million, three hundred eighty-two thousand, forty-eight".