188045280400 has 30 divisors (see below), whose sum is σ = 451778787122. Its totient is φ = 75218112000.

The previous prime is 188045280383. The next prime is 188045280419. The reversal of 188045280400 is 4082540881.

It can be written as a sum of positive squares in 3 ways, for example, as 40454081424 + 147591198976 = 201132^2 + 384176^2 .

It is a super-2 number, since 2×188045280400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 235056201 + ... + 235057000.

Almost surely, 2^188045280400 is an apocalyptic number.

188045280400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

188045280400 is an abundant number, since it is smaller than the sum of its proper divisors (263733506722).

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

188045280400 is a wasteful number, since it uses less digits than its factorization.

188045280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470113219 (or 470113208 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

It can be divided in two parts, 18804 and 5280400, that added together give a square (5299204 = 2302²).

The spelling of 188045280400 in words is "one hundred eighty-eight billion, forty-five million, two hundred eighty thousand, four hundred".