189235283263488 has 3072 divisors, whose sum is σ = 751490369280000. Its totient is φ = 45698808545280.

The previous prime is 189235283263441. The next prime is 189235283263489. The reversal of 189235283263488 is 884362382532981.

189235283263488 is a `hidden beast` number, since 1 + 8 + 9 + 2 + 3 + 5 + 2 + 83 + 2 + 63 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×189235283263488² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (189235283263489) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2126239137748 + ... + 2126239137836.

It is an arithmetic number, because the mean of its divisors is an integer number (244625771250).

Almost surely, 2^{189235283263488} is an apocalyptic number.

189235283263488 is a gapful number since it is divisible by the number (18) 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 189235283263488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375745184640000).

189235283263488 is an abundant number, since it is smaller than the sum of its proper divisors (562255086016512).

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

189235283263488 is an equidigital number, since it uses as much as digits as its factorization.

189235283263488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 194 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 189235283263488 in words is "one hundred eighty-nine trillion, two hundred thirty-five billion, two hundred eighty-three million, two hundred sixty-three thousand, four hundred eighty-eight".