2068114454496 has 288 divisors, whose sum is σ = 6423528384000. Its totient is φ = 652732369920.

The previous prime is 2068114454449. The next prime is 2068114454501. The reversal of 2068114454496 is 6944544118602.

2068114454496 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 1 + 1 + 4 + 4 + 544 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2068114454496² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450469161 + ... + 450473751.

It is an arithmetic number, because the mean of its divisors is an integer number (22303918000).

Almost surely, 2^{2068114454496} 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 2068114454496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211764192000).

2068114454496 is an abundant number, since it is smaller than the sum of its proper divisors (4355413929504).

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

2068114454496 is a wasteful number, since it uses less digits than its factorization.

2068114454496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7684 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2068114454496 in words is "two trillion, sixty-eight billion, one hundred fourteen million, four hundred fifty-four thousand, four hundred ninety-six".