2257574312448 has 1200 divisors, whose sum is σ = 8538047295624. Its totient is φ = 588597166080.

The previous prime is 2257574312431. The next prime is 2257574312453. The reversal of 2257574312448 is 8442134757522.

2257574312448 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 574 + 3 + 1 + 24 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1118077841664 + 1139496470784 = 1057392^2 + 1067472^2 .

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 = 2257574312394 and 2257574312403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2562512968 + ... + 2562513848.

Almost surely, 2^{2257574312448} is an apocalyptic number.

2257574312448 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 2257574312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269023647812).

2257574312448 is an abundant number, since it is smaller than the sum of its proper divisors (6280472983176).

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

2257574312448 is an equidigital number, since it uses as much as digits as its factorization.

2257574312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1003 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 54.

The spelling of 2257574312448 in words is "two trillion, two hundred fifty-seven billion, five hundred seventy-four million, three hundred twelve thousand, four hundred forty-eight".