189731662848000 has 7168 divisors, whose sum is σ = 938879585280000. Its totient is φ = 37924385587200.

The previous prime is 189731662847999. The next prime is 189731662848023. The reversal of 189731662848000 is 848266137981.

189731662848000 is a `hidden beast` number, since 1 + 8 + 9 + 73 + 1 + 66 + 28 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

It is a super-2 number, since 2×189731662848000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 9985876991991 + ... + 9985876992009.

It is an arithmetic number, because the mean of its divisors is an integer number (130982085000).

Almost surely, 2^{189731662848000} is an apocalyptic number.

189731662848000 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 189731662848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469439792640000).

189731662848000 is an abundant number, since it is smaller than the sum of its proper divisors (749147922432000).

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

189731662848000 is an frugal number, since it uses more digits than its factorization.

189731662848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 189731662848000 in words is "one hundred eighty-nine trillion, seven hundred thirty-one billion, six hundred sixty-two million, eight hundred forty-eight thousand".