2816725395456 has 1152 divisors, whose sum is σ = 10118908800000. Its totient is φ = 752375070720.

The previous prime is 2816725395383. The next prime is 2816725395511. The reversal of 2816725395456 is 6545935276182.

2816725395456 is a `hidden beast` number, since 2 + 8 + 1 + 67 + 25 + 3 + 9 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

Its product of digits (108864000) is a multiple of the sum of its prime factors (378).

It is a junction number, because it is equal to n+sod(n) for n = 2816725395393 and 2816725395402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15735895975 + ... + 15735896153.

It is an arithmetic number, because the mean of its divisors is an integer number (8783775000).

Almost surely, 2^{2816725395456} 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 2816725395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059454400000).

2816725395456 is an abundant number, since it is smaller than the sum of its proper divisors (7302183404544).

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

2816725395456 is a wasteful number, since it uses less digits than its factorization.

2816725395456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 341 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 2816725395456 in words is "two trillion, eight hundred sixteen billion, seven hundred twenty-five million, three hundred ninety-five thousand, four hundred fifty-six".