1820846016 has 168 divisors, whose sum is σ = 5759348400. Its totient is φ = 545402880.

The previous prime is 1820846009. The next prime is 1820846021. The reversal of 1820846016 is 6106480281.

1820846016 is a `hidden beast` number, since 182 + 0 + 8 + 460 + 16 = 666.

It is a super-3 number, since 3×1820846016³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562290 + ... + 565518.

Almost surely, 2^1820846016 is an apocalyptic number.

1820846016 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 1820846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879674200).

1820846016 is an abundant number, since it is smaller than the sum of its proper divisors (3938502384).

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

1820846016 is a wasteful number, since it uses less digits than its factorization.

1820846016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1820846016 is about 42671.3723238426. The cubic root of 1820846016 is about 1221.1183009532.

The spelling of 1820846016 in words is "one billion, eight hundred twenty million, eight hundred forty-six thousand, sixteen".