188132606228736 has 1215 divisors, whose sum is σ = 646783727836323. Its totient is φ = 54355432734720.

The previous prime is 188132606228599. The next prime is 188132606228759. The reversal of 188132606228736 is 637822606231881.

The square root of 188132606228736 is 13716144.

It is a perfect power (a square), and thus also a powerful number.

188132606228736 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 3 + 260 + 62 + 287 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1698705582336 + 186433900646400 = 1303344^2 + 13654080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 436502566441 + ... + 436502566871.

Almost surely, 2^{188132606228736} is an apocalyptic number.

188132606228736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

188132606228736 is the 13716144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188132606228736

188132606228736 is an abundant number, since it is smaller than the sum of its proper divisors (458651121607587).

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

188132606228736 is an frugal number, since it uses more digits than its factorization.

188132606228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 188132606228736 in words is "one hundred eighty-eight trillion, one hundred thirty-two billion, six hundred six million, two hundred twenty-eight thousand, seven hundred thirty-six".