1804813364016 has 320 divisors, whose sum is σ = 5914616995840. Its totient is φ = 522886855680.

The previous prime is 1804813364009. The next prime is 1804813364041. The reversal of 1804813364016 is 6104633184081.

1804813364016 is a `hidden beast` number, since 1 + 80 + 481 + 33 + 64 + 0 + 1 + 6 = 666.

It is a super-3 number, since 3×1804813364016³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6301461 + ... + 6581643.

It is an arithmetic number, because the mean of its divisors is an integer number (18483178112).

Almost surely, 2^{1804813364016} is an apocalyptic number.

1804813364016 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 1804813364016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957308497920).

1804813364016 is an abundant number, since it is smaller than the sum of its proper divisors (4109803631824).

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

1804813364016 is a wasteful number, since it uses less digits than its factorization.

1804813364016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280281 (or 280269 counting only the distinct ones).

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

The spelling of 1804813364016 in words is "one trillion, eight hundred four billion, eight hundred thirteen million, three hundred sixty-four thousand, sixteen".