189282071712 has 96 divisors (see below), whose sum is σ = 508488140160. Its totient is φ = 61634442240.

The previous prime is 189282071669. The next prime is 189282071717. The reversal of 189282071712 is 217170282981.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×189282071712² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (189282071717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615558 + ... + 870330.

It is an arithmetic number, because the mean of its divisors is an integer number (5296751460).

Almost surely, 2^189282071712 is an apocalyptic number.

189282071712 is a gapful number since it is divisible by the number (12) 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 189282071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254244070080).

189282071712 is an abundant number, since it is smaller than the sum of its proper divisors (319206068448).

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

189282071712 is a wasteful number, since it uses less digits than its factorization.

189282071712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254966 (or 254958 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 48.

The spelling of 189282071712 in words is "one hundred eighty-nine billion, two hundred eighty-two million, seventy-one thousand, seven hundred twelve".