2914453806768 has 240 divisors, whose sum is σ = 9879008417280. Its totient is φ = 805838958720.

The previous prime is 2914453806703. The next prime is 2914453806793. The reversal of 2914453806768 is 8676083544192.

2914453806768 is a `hidden beast` number, since 2 + 91 + 4 + 4 + 538 + 0 + 6 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2404621 + ... + 3407507.

It is an arithmetic number, because the mean of its divisors is an integer number (41162535072).

It is a 1-persistent number, because it is pandigital, but 2⋅2914453806768 = 5828907613536 is not.

Almost surely, 2^{2914453806768} is an apocalyptic number.

2914453806768 is a gapful number since it is divisible by the number (28) 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 2914453806768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939504208640).

2914453806768 is an abundant number, since it is smaller than the sum of its proper divisors (6964554610512).

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

2914453806768 is a wasteful number, since it uses less digits than its factorization.

2914453806768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002973 (or 1002930 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2914453806768 in words is "two trillion, nine hundred fourteen billion, four hundred fifty-three million, eight hundred six thousand, seven hundred sixty-eight".