186420228619000 has 128 divisors (see below), whose sum is σ = 441566515091520. Its totient is φ = 73657678848000.

The previous prime is 186420228618961. The next prime is 186420228619063. The reversal of 186420228619000 is 916822024681.

186420228619000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×186420228619000² (a number of 29 digits) contains 22 as substring.

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, 48692607 + ... + 52381393.

Almost surely, 2^{186420228619000} is an apocalyptic number.

186420228619000 is a gapful number since it is divisible by the number (10) 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 186420228619000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220783257545760).

186420228619000 is an abundant number, since it is smaller than the sum of its proper divisors (255146286472520).

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

186420228619000 is a wasteful number, since it uses less digits than its factorization.

186420228619000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689426 (or 3689412 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 186420228619000 in words is "one hundred eighty-six trillion, four hundred twenty billion, two hundred twenty-eight million, six hundred nineteen thousand".