1648140835968 has 576 divisors, whose sum is σ = 5606885344320. Its totient is φ = 477660395520.

The previous prime is 1648140835961. The next prime is 1648140835987. The reversal of 1648140835968 is 8695380418461.

1648140835968 is a `hidden beast` number, since 1 + 6 + 481 + 40 + 8 + 3 + 59 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1648140835961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212467546 + ... + 212475302.

It is an arithmetic number, because the mean of its divisors is an integer number (9734175945).

Almost surely, 2^{1648140835968} is an apocalyptic number.

1648140835968 is a gapful number since it is divisible by the number (18) 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 1648140835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803442672160).

1648140835968 is an abundant number, since it is smaller than the sum of its proper divisors (3958744508352).

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

1648140835968 is an frugal number, since it uses more digits than its factorization.

1648140835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7829 (or 7796 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1648140835968 in words is "one trillion, six hundred forty-eight billion, one hundred forty million, eight hundred thirty-five thousand, nine hundred sixty-eight".