1826253648 has 240 divisors, whose sum is σ = 5585267520. Its totient is φ = 571034880.

The previous prime is 1826253623. The next prime is 1826253691. The reversal of 1826253648 is 8463526281.

1826253648 is a `hidden beast` number, since 18 + 2 + 62 + 536 + 48 = 666.

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, 22003015 + ... + 22003097.

It is an arithmetic number, because the mean of its divisors is an integer number (23271948).

Almost surely, 2^1826253648 is an apocalyptic number.

1826253648 is a gapful number since it is divisible by the number (18) 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 1826253648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792633760).

1826253648 is an abundant number, since it is smaller than the sum of its proper divisors (3759013872).

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

1826253648 is a wasteful number, since it uses less digits than its factorization.

1826253648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 172 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1826253648 is about 42734.6890476578. The cubic root of 1826253648 is about 1222.3259506063.

The spelling of 1826253648 in words is "one billion, eight hundred twenty-six million, two hundred fifty-three thousand, six hundred forty-eight".