188926114000 has 240 divisors, whose sum is σ = 506768908464. Its totient is φ = 68050944000.

The previous prime is 188926113917. The next prime is 188926114063. The reversal of 188926114000 is 411629881.

It can be written as a sum of positive squares in 24 ways, for example, as 162064215184 + 26861898816 = 402572^2 + 163896^2 .

It is a super-2 number, since 2×188926114000² (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 a congruent number.

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, 13851184 + ... + 13864816.

Almost surely, 2^188926114000 is an apocalyptic number.

188926114000 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 188926114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253384454232).

188926114000 is an abundant number, since it is smaller than the sum of its proper divisors (317842794464).

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

188926114000 is a wasteful number, since it uses less digits than its factorization.

188926114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13723 (or 13694 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 188926114000 in words is "one hundred eighty-eight billion, nine hundred twenty-six million, one hundred fourteen thousand".