2286380146464 has 288 divisors, whose sum is σ = 6955367118336. Its totient is φ = 709910323200.

The previous prime is 2286380146417. The next prime is 2286380146577. The reversal of 2286380146464 is 4646410836822.

It is a happy number.

2286380146464 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 38 + 0 + 146 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2286380146464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1022073154 + ... + 1022075390.

It is an arithmetic number, because the mean of its divisors is an integer number (24150580272).

Almost surely, 2^{2286380146464} is an apocalyptic number.

2286380146464 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 2286380146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477683559168).

2286380146464 is an abundant number, since it is smaller than the sum of its proper divisors (4668986971872).

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

2286380146464 is a wasteful number, since it uses less digits than its factorization.

2286380146464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 2286380146464 in words is "two trillion, two hundred eighty-six billion, three hundred eighty million, one hundred forty-six thousand, four hundred sixty-four".