3948649066164 has 96 divisors (see below), whose sum is σ = 10089386987904. Its totient is φ = 1192011448320.

The previous prime is 3948649066139. The next prime is 3948649066213. The reversal of 3948649066164 is 4616609468493.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3948649066095 and 3948649066104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38414662 + ... + 38517314.

It is an arithmetic number, because the mean of its divisors is an integer number (105097781124).

Almost surely, 2^{3948649066164} is an apocalyptic number.

It is an amenable number.

3948649066164 is an abundant number, since it is smaller than the sum of its proper divisors (6140737921740).

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

3948649066164 is a wasteful number, since it uses less digits than its factorization.

3948649066164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103777 (or 103775 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 66.

The spelling of 3948649066164 in words is "three trillion, nine hundred forty-eight billion, six hundred forty-nine million, sixty-six thousand, one hundred sixty-four".