174226120870000 has 800 divisors, whose sum is σ = 441951328304640. Its totient is φ = 66483763200000.

The previous prime is 174226120869973. The next prime is 174226120870001. The reversal of 174226120870000 is 78021622471.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (174226120870001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1153815369925 + ... + 1153815370075.

Almost surely, 2^{174226120870000} is an apocalyptic number.

174226120870000 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 174226120870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220975664152320).

174226120870000 is an abundant number, since it is smaller than the sum of its proper divisors (267725207434640).

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

174226120870000 is a wasteful number, since it uses less digits than its factorization.

174226120870000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 174226120870000 in words is "one hundred seventy-four trillion, two hundred twenty-six billion, one hundred twenty million, eight hundred seventy thousand".