1863826416 has 80 divisors (see below), whose sum is σ = 5664592800. Its totient is φ = 584727552.

The previous prime is 1863826333. The next prime is 1863826429. The reversal of 1863826416 is 6146283681.

1863826416 is a `hidden beast` number, since 1 + 8 + 638 + 2 + 6 + 4 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119551 + ... + 134238.

It is an arithmetic number, because the mean of its divisors is an integer number (70807410).

Almost surely, 2^1863826416 is an apocalyptic number.

1863826416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1863826416 is an abundant number, since it is smaller than the sum of its proper divisors (3800766384).

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

1863826416 is a wasteful number, since it uses less digits than its factorization.

1863826416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253823 (or 253811 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1863826416 is about 43172.0559621614. The cubic root of 1863826416 is about 1230.6516951013.

It can be divided in two parts, 18638 and 26416, that added together give a palindrome (45054).

The spelling of 1863826416 in words is "one billion, eight hundred sixty-three million, eight hundred twenty-six thousand, four hundred sixteen".