2856431137248 has 576 divisors, whose sum is σ = 9399252441600. Its totient is φ = 842827714560.

The previous prime is 2856431137247. The next prime is 2856431137277. The reversal of 2856431137248 is 8427311346582.

2856431137248 is a `hidden beast` number, since 2 + 8 + 56 + 4 + 311 + 37 + 248 = 666.

It is a super-2 number, since 2×2856431137248² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2856431137194 and 2856431137203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2856431137247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353208661 + ... + 353216747.

It is an arithmetic number, because the mean of its divisors is an integer number (16318146600).

Almost surely, 2^{2856431137248} 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 2856431137248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699626220800).

2856431137248 is an abundant number, since it is smaller than the sum of its proper divisors (6542821304352).

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

2856431137248 is a wasteful number, since it uses less digits than its factorization.

2856431137248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8232 (or 8205 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 2856431137248 in words is "two trillion, eight hundred fifty-six billion, four hundred thirty-one million, one hundred thirty-seven thousand, two hundred forty-eight".