1648534164096 has 384 divisors, whose sum is σ = 4827792110400. Its totient is φ = 497901109248.

The previous prime is 1648534164089. The next prime is 1648534164139. The reversal of 1648534164096 is 6904614358461.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398290795 + ... + 398294933.

Almost surely, 2^{1648534164096} is an apocalyptic number.

1648534164096 is a gapful number since it is divisible by the number (16) 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 1648534164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413896055200).

1648534164096 is an abundant number, since it is smaller than the sum of its proper divisors (3179257946304).

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

1648534164096 is a wasteful number, since it uses less digits than its factorization.

1648534164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 1648534164096 in words is "one trillion, six hundred forty-eight billion, five hundred thirty-four million, one hundred sixty-four thousand, ninety-six".