1001648378931 has 16 divisors (see below), whose sum is σ = 1337663061504. Its totient is φ = 666699878624.

The previous prime is 1001648378893. The next prime is 1001648378957. The reversal of 1001648378931 is 1398738461001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001648378931 - 2²⁷ = 1001514161203 is a prime.

It is a super-3 number, since 3×1001648378931³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1001648378981) 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, 20616790 + ... + 20665316.

It is an arithmetic number, because the mean of its divisors is an integer number (83603941344).

Almost surely, 2^{1001648378931} is an apocalyptic number.

1001648378931 is a deficient number, since it is larger than the sum of its proper divisors (336014682573).

1001648378931 is a wasteful number, since it uses less digits than its factorization.

1001648378931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59370.

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 1001648378931 in words is "one trillion, one billion, six hundred forty-eight million, three hundred seventy-eight thousand, nine hundred thirty-one".