1606825472472 has 448 divisors, whose sum is σ = 5173613544960. Its totient is φ = 462886617600.

The previous prime is 1606825472437. The next prime is 1606825472489. The reversal of 1606825472472 is 2742745286061.

1606825472472 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 8 + 2 + 547 + 24 + 72 = 666.

It is a super-3 number, since 3×1606825472472³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 246404572 + ... + 246411092.

It is an arithmetic number, because the mean of its divisors is an integer number (11548244520).

Almost surely, 2^{1606825472472} is an apocalyptic number.

1606825472472 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 1606825472472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586806772480).

1606825472472 is an abundant number, since it is smaller than the sum of its proper divisors (3566788072488).

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

1606825472472 is a wasteful number, since it uses less digits than its factorization.

1606825472472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 1606825472472 in words is "one trillion, six hundred six billion, eight hundred twenty-five million, four hundred seventy-two thousand, four hundred seventy-two".