895486015726848 has 6480 divisors, whose sum is σ = 3786190880908800. Its totient is φ = 209058175549440.

The previous prime is 895486015726831. The next prime is 895486015726849. The reversal of 895486015726848 is 848627510684598.

895486015726848 is a `hidden beast` number, since 8 + 9 + 5 + 486 + 0 + 1 + 5 + 72 + 68 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895486015726849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 28886645668593 + ... + 28886645668623.

Almost surely, 2^{895486015726848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895486015726848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893095440454400).

895486015726848 is an abundant number, since it is smaller than the sum of its proper divisors (2890704865181952).

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

895486015726848 is an frugal number, since it uses more digits than its factorization.

895486015726848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7431782400, while the sum is 81.

The spelling of 895486015726848 in words is "eight hundred ninety-five trillion, four hundred eighty-six billion, fifteen million, seven hundred twenty-six thousand, eight hundred forty-eight".