2455864282368 has 864 divisors, whose sum is σ = 8624633472000. Its totient is φ = 696670377984.

The previous prime is 2455864282303. The next prime is 2455864282439. The reversal of 2455864282368 is 8632824685542.

It is a happy number.

2455864282368 is a `hidden beast` number, since 2 + 4 + 5 + 586 + 4 + 28 + 23 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3819384255 + ... + 3819384897.

Almost surely, 2^{2455864282368} is an apocalyptic number.

2455864282368 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 2455864282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312316736000).

2455864282368 is an abundant number, since it is smaller than the sum of its proper divisors (6168769189632).

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

2455864282368 is an frugal number, since it uses more digits than its factorization.

2455864282368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 834 counting only the distinct ones).

The product of its digits is 176947200, while the sum is 63.

The spelling of 2455864282368 in words is "two trillion, four hundred fifty-five billion, eight hundred sixty-four million, two hundred eighty-two thousand, three hundred sixty-eight".