188946540000 has 480 divisors, whose sum is σ = 694163796480. Its totient is φ = 49982400000.

The previous prime is 188946539989. The next prime is 188946540007. The reversal of 188946540000 is 45649881.

188946540000 is a `hidden beast` number, since 18 + 8 + 94 + 6 + 540 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188946540007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70738665 + ... + 70741335.

It is an arithmetic number, because the mean of its divisors is an integer number (1446174576).

Almost surely, 2^188946540000 is an apocalyptic number.

188946540000 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 188946540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347081898240).

188946540000 is an abundant number, since it is smaller than the sum of its proper divisors (505217256480).

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

188946540000 is a wasteful number, since it uses less digits than its factorization.

188946540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 188946540000 in words is "one hundred eighty-eight billion, nine hundred forty-six million, five hundred forty thousand".