2106894699648 has 384 divisors, whose sum is σ = 6537320025600. Its totient is φ = 667947202560.

The previous prime is 2106894699629. The next prime is 2106894699697. The reversal of 2106894699648 is 8469964986012.

2106894699648 is a `hidden beast` number, since 2 + 10 + 68 + 9 + 469 + 96 + 4 + 8 = 666.

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

It is a super-2 number, since 2×2106894699648² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 330905361 + ... + 330911727.

It is an arithmetic number, because the mean of its divisors is an integer number (17024270900).

Almost surely, 2^{2106894699648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106894699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268660012800).

2106894699648 is an abundant number, since it is smaller than the sum of its proper divisors (4430425325952).

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

2106894699648 is a wasteful number, since it uses less digits than its factorization.

2106894699648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 2106894699648 in words is "two trillion, one hundred six billion, eight hundred ninety-four million, six hundred ninety-nine thousand, six hundred forty-eight".