1804216145472 has 336 divisors, whose sum is σ = 5657246544768. Its totient is φ = 546405212160.

The previous prime is 1804216145467. The next prime is 1804216145489. The reversal of 1804216145472 is 2745416124081.

1804216145472 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 21 + 614 + 5 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×1804216145472² (a number of 25 digits) contains 22 as substring.

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, 285881197 + ... + 285887507.

It is an arithmetic number, because the mean of its divisors is an integer number (16837043288).

Almost surely, 2^{1804216145472} is an apocalyptic number.

1804216145472 is a gapful number since it is divisible by the number (12) 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 1804216145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828623272384).

1804216145472 is an abundant number, since it is smaller than the sum of its proper divisors (3853030399296).

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

1804216145472 is a wasteful number, since it uses less digits than its factorization.

1804216145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938 (or 6925 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1804216145472 in words is "one trillion, eight hundred four billion, two hundred sixteen million, one hundred forty-five thousand, four hundred seventy-two".