1863848448 has 640 divisors, whose sum is σ = 7353815040. Its totient is φ = 451215360.

The previous prime is 1863848407. The next prime is 1863848449. The reversal of 1863848448 is 8448483681.

1863848448 is a `hidden beast` number, since 186 + 384 + 84 + 4 + 8 = 666.

It is a super-2 number, since 2×1863848448² = 6947862074224017408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1863848394 and 1863848403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1863848449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18095565 + ... + 18095667.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^1863848448 is an apocalyptic number.

1863848448 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 1863848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676907520).

1863848448 is an abundant number, since it is smaller than the sum of its proper divisors (5489966592).

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

1863848448 is a wasteful number, since it uses less digits than its factorization.

1863848448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 1863848448 is about 43172.3111264616. The cubic root of 1863848448 is about 1230.6565441958.

The spelling of 1863848448 in words is "one billion, eight hundred sixty-three million, eight hundred forty-eight thousand, four hundred forty-eight".