2114305568928 has 480 divisors, whose sum is σ = 7224252456960. Its totient is φ = 594130567680.

The previous prime is 2114305568917. The next prime is 2114305568939. The reversal of 2114305568928 is 8298655034112.

2114305568928 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 3 + 0 + 556 + 89 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2114305568917) and next prime (2114305568939).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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 79 ways as a sum of consecutive naturals, for example, 388442175 + ... + 388447617.

It is an arithmetic number, because the mean of its divisors is an integer number (15050525952).

Almost surely, 2^{2114305568928} is an apocalyptic number.

2114305568928 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 2114305568928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612126228480).

2114305568928 is an abundant number, since it is smaller than the sum of its proper divisors (5109946888032).

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

2114305568928 is a wasteful number, since it uses less digits than its factorization.

2114305568928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 2114305568928 in words is "two trillion, one hundred fourteen billion, three hundred five million, five hundred sixty-eight thousand, nine hundred twenty-eight".