8146040660256 has 576 divisors, whose sum is σ = 24059585088000. Its totient is φ = 2409760751616.

The previous prime is 8146040660249. The next prime is 8146040660281. The reversal of 8146040660256 is 6520660406418.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5258902170 + ... + 5258903718.

It is an arithmetic number, because the mean of its divisors is an integer number (41770113000).

Almost surely, 2^{8146040660256} 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 8146040660256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029792544000).

8146040660256 is an abundant number, since it is smaller than the sum of its proper divisors (15913544427744).

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

8146040660256 is a wasteful number, since it uses less digits than its factorization.

8146040660256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 8146040660256 in words is "eight trillion, one hundred forty-six billion, forty million, six hundred sixty thousand, two hundred fifty-six".