1815810048 has 260 divisors, whose sum is σ = 5855483788. Its totient is φ = 557383680.

The previous prime is 1815810043. The next prime is 1815810109. The reversal of 1815810048 is 8400185181.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 1719926784 = 9792^2 + 41472^2 .

It is a super-2 number, since 2×1815810048² = 6594332260835524608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1815809994 and 1815810021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1815810043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4312878 + ... + 4313298.

Almost surely, 2^1815810048 is an apocalyptic number.

1815810048 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 1815810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927741894).

1815810048 is an abundant number, since it is smaller than the sum of its proper divisors (4039673740).

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

1815810048 is an equidigital number, since it uses as much as digits as its factorization.

1815810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1815810048 is about 42612.3227247706. The cubic root of 1815810048 is about 1219.9915004335.

The spelling of 1815810048 in words is "one billion, eight hundred fifteen million, eight hundred ten thousand, forty-eight".