188916142500 has 180 divisors, whose sum is σ = 597162706140. Its totient is φ = 50341248000.

The previous prime is 188916142483. The next prime is 188916142501. The reversal of 188916142500 is 5241619881.

It is a happy number.

188916142500 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 1 + 614 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 188864991396 + 51151104 = 434586^2 + 7152^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (188916142501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 48080536 + ... + 48084464.

Almost surely, 2^188916142500 is an apocalyptic number.

188916142500 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 188916142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298581353070).

188916142500 is an abundant number, since it is smaller than the sum of its proper divisors (408246563640).

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

188916142500 is a wasteful number, since it uses less digits than its factorization.

188916142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 188916142500 in words is "one hundred eighty-eight billion, nine hundred sixteen million, one hundred forty-two thousand, five hundred".