8140866003648 has 672 divisors, whose sum is σ = 27734685029376. Its totient is φ = 2234632790016.

The previous prime is 8140866003623. The next prime is 8140866003691. The reversal of 8140866003648 is 8463006680418.

8140866003648 is a `hidden beast` number, since 8 + 140 + 86 + 60 + 0 + 364 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8140866003594 and 8140866003603.

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, 8036392390 + ... + 8036393402.

Almost surely, 2^{8140866003648} 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 8140866003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867342514688).

8140866003648 is an abundant number, since it is smaller than the sum of its proper divisors (19593819025728).

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

8140866003648 is a wasteful number, since it uses less digits than its factorization.

8140866003648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 8140866003648 in words is "eight trillion, one hundred forty billion, eight hundred sixty-six million, three thousand, six hundred forty-eight".