2456848047456 has 288 divisors, whose sum is σ = 7911449739648. Its totient is φ = 743807370240.

The previous prime is 2456848047427. The next prime is 2456848047547. The reversal of 2456848047456 is 6547408486542.

It is a happy number.

2456848047456 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 84 + 80 + 474 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2456848047456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2456848047393 and 2456848047402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96044140 + ... + 96069716.

It is an arithmetic number, because the mean of its divisors is an integer number (27470311596).

Almost surely, 2^{2456848047456} 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 2456848047456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955724869824).

2456848047456 is an abundant number, since it is smaller than the sum of its proper divisors (5454601692192).

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

2456848047456 is a wasteful number, since it uses less digits than its factorization.

2456848047456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26736 (or 26716 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 2456848047456 in words is "two trillion, four hundred fifty-six billion, eight hundred forty-eight million, forty-seven thousand, four hundred fifty-six".