1856415663648 has 864 divisors, whose sum is σ = 6742250161920. Its totient is φ = 480151203840.

The previous prime is 1856415663611. The next prime is 1856415663703. The reversal of 1856415663648 is 8463665146581.

It is a happy number.

1856415663648 is a `hidden beast` number, since 1 + 8 + 5 + 6 + 4 + 1 + 566 + 3 + 64 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4676109786 + ... + 4676110182.

It is an arithmetic number, because the mean of its divisors is an integer number (7803530280).

Almost surely, 2^{1856415663648} is an apocalyptic number.

1856415663648 is a gapful number since it is divisible by the number (18) 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 1856415663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371125080960).

1856415663648 is an abundant number, since it is smaller than the sum of its proper divisors (4885834498272).

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

1856415663648 is a wasteful number, since it uses less digits than its factorization.

1856415663648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 852 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 1856415663648 in words is "one trillion, eight hundred fifty-six billion, four hundred fifteen million, six hundred sixty-three thousand, six hundred forty-eight".