1001648636160 has 144 divisors (see below), whose sum is σ = 3213363439104. Its totient is φ = 265908289536.

The previous prime is 1001648636159. The next prime is 1001648636167. The reversal of 1001648636160 is 616368461001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1001648636167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271464 + ... + 1441176.

Almost surely, 2^{1001648636160} is an apocalyptic number.

1001648636160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001648636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606681719552).

1001648636160 is an abundant number, since it is smaller than the sum of its proper divisors (2211714802944).

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

1001648636160 is a wasteful number, since it uses less digits than its factorization.

1001648636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169960 (or 1169946 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1001648636160 in words is "one trillion, one billion, six hundred forty-eight million, six hundred thirty-six thousand, one hundred sixty".