177243000012 has 288 divisors, whose sum is σ = 528526252800. Its totient is φ = 51197432832.

The previous prime is 177242999981. The next prime is 177243000047. The reversal of 177243000012 is 210000342771.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 177243000012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39184783 + ... + 39189305.

It is an arithmetic number, because the mean of its divisors is an integer number (1835160600).

Almost surely, 2^177243000012 is an apocalyptic number.

177243000012 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 177243000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264263126400).

177243000012 is an abundant number, since it is smaller than the sum of its proper divisors (351283252788).

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

177243000012 is a wasteful number, since it uses less digits than its factorization.

177243000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 177243000012 its reverse (210000342771), we get a palindrome (387243342783).

The spelling of 177243000012 in words is "one hundred seventy-seven billion, two hundred forty-three million, twelve", and thus it is an aban number.