8001406800648 has 80 divisors (see below), whose sum is σ = 22442176236480. Its totient is φ = 2663466756192.

The previous prime is 8001406800643. The next prime is 8001406800649. The reversal of 8001406800648 is 8460086041008.

It is not an unprimeable number, because it can be changed into a prime (8001406800643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8021236 + ... + 8963427.

It is an arithmetic number, because the mean of its divisors is an integer number (280527202956).

Almost surely, 2^{8001406800648} is an apocalyptic number.

It is an amenable number.

8001406800648 is an abundant number, since it is smaller than the sum of its proper divisors (14440769435832).

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

8001406800648 is a wasteful number, since it uses less digits than its factorization.

8001406800648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16985408 (or 16985395 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 8001406800648 in words is "eight trillion, one billion, four hundred six million, eight hundred thousand, six hundred forty-eight".