1863916416 has 384 divisors, whose sum is σ = 6059289600. Its totient is φ = 547430400.

The previous prime is 1863916387. The next prime is 1863916429. The reversal of 1863916416 is 6146193681.

1863916416 is a `hidden beast` number, since 1 + 8 + 639 + 1 + 6 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 27819615 + ... + 27819681.

It is an arithmetic number, because the mean of its divisors is an integer number (15779400).

Almost surely, 2^1863916416 is an apocalyptic number.

1863916416 is a gapful number since it is divisible by the number (16) 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 1863916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029644800).

1863916416 is an abundant number, since it is smaller than the sum of its proper divisors (4195373184).

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

1863916416 is a wasteful number, since it uses less digits than its factorization.

1863916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1863916416 is about 43173.0982904864. The cubic root of 1863916416 is about 1230.6715032531.

The spelling of 1863916416 in words is "one billion, eight hundred sixty-three million, nine hundred sixteen thousand, four hundred sixteen".