2214460289664 has 384 divisors, whose sum is σ = 7438223520000. Its totient is φ = 632113735680.

The previous prime is 2214460289651. The next prime is 2214460289729. The reversal of 2214460289664 is 4669820644122.

2214460289664 is a `hidden beast` number, since 2 + 2 + 14 + 460 + 28 + 96 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2214460289664.

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, 597048642 + ... + 597052350.

It is an arithmetic number, because the mean of its divisors is an integer number (19370373750).

Almost surely, 2^{2214460289664} is an apocalyptic number.

2214460289664 is a gapful number since it is divisible by the number (24) 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 2214460289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719111760000).

2214460289664 is an abundant number, since it is smaller than the sum of its proper divisors (5223763230336).

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

2214460289664 is a wasteful number, since it uses less digits than its factorization.

2214460289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2214460289664 in words is "two trillion, two hundred fourteen billion, four hundred sixty million, two hundred eighty-nine thousand, six hundred sixty-four".