2258423451648 has 2080 divisors, whose sum is σ = 9093483069440. Its totient is φ = 541776936960.

The previous prime is 2258423451643. The next prime is 2258423451649. The reversal of 2258423451648 is 8461543248522.

2258423451648 is a `hidden beast` number, since 2 + 2 + 5 + 84 + 2 + 3 + 4 + 516 + 48 = 666.

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 = 2258423451594 and 2258423451603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258423451643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17782861761 + ... + 17782861887.

Almost surely, 2^{2258423451648} is an apocalyptic number.

2258423451648 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 2258423451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546741534720).

2258423451648 is an abundant number, since it is smaller than the sum of its proper divisors (6835059617792).

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

2258423451648 is a wasteful number, since it uses less digits than its factorization.

2258423451648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 202 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 2258423451648 in words is "two trillion, two hundred fifty-eight billion, four hundred twenty-three million, four hundred fifty-one thousand, six hundred forty-eight".