8140737282048 has 1360 divisors, whose sum is σ = 30145910572800. Its totient is φ = 2180782227456.

The previous prime is 8140737281983. The next prime is 8140737282187. The reversal of 8140737282048 is 8402827370418.

8140737282048 is a `hidden beast` number, since 8 + 1 + 407 + 3 + 7 + 28 + 204 + 8 = 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 = 8140737281985 and 8140737282003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30953373565 + ... + 30953373827.

Almost surely, 2^{8140737282048} 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 8140737282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072955286400).

8140737282048 is an abundant number, since it is smaller than the sum of its proper divisors (22005173290752).

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

8140737282048 is an frugal number, since it uses more digits than its factorization.

8140737282048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 8140737282048 in words is "eight trillion, one hundred forty billion, seven hundred thirty-seven million, two hundred eighty-two thousand, forty-eight".