2457454966848 has 280 divisors, whose sum is σ = 8328755658432. Its totient is φ = 701841355776.

The previous prime is 2457454966819. The next prime is 2457454966849. The reversal of 2457454966848 is 8486694547542.

2457454966848 is a `hidden beast` number, since 2 + 4 + 5 + 7 + 454 + 96 + 6 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2457454966849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97711011 + ... + 97736157.

Almost surely, 2^{2457454966848} is an apocalyptic number.

2457454966848 is a gapful number since it is divisible by the number (28) 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 2457454966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164377829216).

2457454966848 is an abundant number, since it is smaller than the sum of its proper divisors (5871300691584).

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

2457454966848 is a wasteful number, since it uses less digits than its factorization.

2457454966848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27871 (or 27852 counting only the distinct ones).

The product of its digits is 1857945600, while the sum is 72.

The spelling of 2457454966848 in words is "two trillion, four hundred fifty-seven billion, four hundred fifty-four million, nine hundred sixty-six thousand, eight hundred forty-eight".