188728801446240 has 5760 divisors, whose sum is σ = 865070049457152. Its totient is φ = 38209766031360.

The previous prime is 188728801446239. The next prime is 188728801446253. The reversal of 188728801446240 is 42644108827881.

188728801446240 is a `hidden beast` number, since 1 + 8 + 8 + 72 + 8 + 80 + 1 + 446 + 2 + 40 = 666.

It is a super-2 number, since 2×188728801446240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1670166384424 + ... + 1670166384536.

Almost surely, 2^{188728801446240} is an apocalyptic number.

188728801446240 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 188728801446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432535024728576).

188728801446240 is an abundant number, since it is smaller than the sum of its proper divisors (676341248010912).

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

188728801446240 is a wasteful number, since it uses less digits than its factorization.

188728801446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 188728801446240 in words is "one hundred eighty-eight trillion, seven hundred twenty-eight billion, eight hundred one million, four hundred forty-six thousand, two hundred forty".