188622048400 has 240 divisors, whose sum is σ = 476176022784. Its totient is φ = 71732183040.

The previous prime is 188622048379. The next prime is 188622048413. The reversal of 188622048400 is 4840226881.

188622048400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×188622048400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119154009 + ... + 119155591.

Almost surely, 2^188622048400 is an apocalyptic number.

188622048400 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 188622048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238088011392).

188622048400 is an abundant number, since it is smaller than the sum of its proper divisors (287553974384).

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

188622048400 is a wasteful number, since it uses less digits than its factorization.

188622048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 188622048400 in words is "one hundred eighty-eight billion, six hundred twenty-two million, forty-eight thousand, four hundred".