188516081400 has 192 divisors, whose sum is σ = 590289228000. Its totient is φ = 49766645760.

The previous prime is 188516081393. The next prime is 188516081417. The reversal of 188516081400 is 4180615881.

It is a super-2 number, since 2×188516081400² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 27978832 + ... + 27985568.

Almost surely, 2^188516081400 is an apocalyptic number.

188516081400 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 188516081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295144614000).

188516081400 is an abundant number, since it is smaller than the sum of its proper divisors (401773146600).

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

188516081400 is a wasteful number, since it uses less digits than its factorization.

188516081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 188516081400 in words is "one hundred eighty-eight billion, five hundred sixteen million, eighty-one thousand, four hundred".