189376123456 has 168 divisors, whose sum is σ = 435836197160. Its totient is φ = 81128521728.

The previous prime is 189376123451. The next prime is 189376123457. The reversal of 189376123456 is 654321673981.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 14685561856 + 174690561600 = 121184^2 + 417960^2 .

It is a super-2 number, since 2×189376123456² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 189376123397 and 189376123406.

It is not an unprimeable number, because it can be changed into a prime (189376123451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17547310 + ... + 17558098.

Almost surely, 2^189376123456 is an apocalyptic number.

189376123456 is a gapful number since it is divisible by the number (16) 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 189376123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217918098580).

189376123456 is an abundant number, since it is smaller than the sum of its proper divisors (246460073704).

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

189376123456 is a wasteful number, since it uses less digits than its factorization.

189376123456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921 (or 10894 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 189376123456 in words is "one hundred eighty-nine billion, three hundred seventy-six million, one hundred twenty-three thousand, four hundred fifty-six".