174400126372096 has 81 divisors (see below), whose sum is σ = 367413831332793. Its totient is φ = 82608684503040.

The previous prime is 174400126372081. The next prime is 174400126372099. The reversal of 174400126372096 is 690273621004471.

It is a happy number.

The square root of 174400126372096 is 13206064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57801594685696 + 116598531686400 = 7602736^2 + 10798080^2 .

It is not an unprimeable number, because it can be changed into a prime (174400126372099) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4014621736 + ... + 4014665176.

Almost surely, 2^{174400126372096} is an apocalyptic number.

174400126372096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

174400126372096 is the 13206064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 174400126372096

174400126372096 is an abundant number, since it is smaller than the sum of its proper divisors (193013704960697).

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

174400126372096 is an frugal number, since it uses more digits than its factorization.

174400126372096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86936 (or 43462 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 174400126372096 in words is "one hundred seventy-four trillion, four hundred billion, one hundred twenty-six million, three hundred seventy-two thousand, ninety-six".