185493006072 has 448 divisors, whose sum is σ = 584912741760. Its totient is φ = 54648172800.

The previous prime is 185493006053. The next prime is 185493006089. The reversal of 185493006072 is 270600394581.

185493006072 is a `hidden beast` number, since 1 + 8 + 5 + 4 + 9 + 30 + 0 + 607 + 2 = 666.

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, 418719883 + ... + 418720325.

It is a 1-persistent number, because it is pandigital, but 2⋅185493006072 = 370986012144 is not.

Almost surely, 2^185493006072 is an apocalyptic number.

185493006072 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 185493006072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292456370880).

185493006072 is an abundant number, since it is smaller than the sum of its proper divisors (399419735688).

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

185493006072 is a wasteful number, since it uses less digits than its factorization.

185493006072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 185493006072 in words is "one hundred eighty-five billion, four hundred ninety-three million, six thousand, seventy-two".