185214145536 has 352 divisors, whose sum is σ = 647116636160. Its totient is φ = 51209625600.

The previous prime is 185214145469. The next prime is 185214145577. The reversal of 185214145536 is 635541412581.

185214145536 is a `hidden beast` number, since 1 + 8 + 52 + 1 + 41 + 4 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 185214145491 and 185214145500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5984181 + ... + 6015051.

Almost surely, 2^185214145536 is an apocalyptic number.

185214145536 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 185214145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323558318080).

185214145536 is an abundant number, since it is smaller than the sum of its proper divisors (461902490624).

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

185214145536 is a wasteful number, since it uses less digits than its factorization.

185214145536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30938 (or 30914 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The spelling of 185214145536 in words is "one hundred eighty-five billion, two hundred fourteen million, one hundred forty-five thousand, five hundred thirty-six".