1713978456100 has 81 divisors (see below), whose sum is σ = 3764151970131. Its totient is φ = 677427273600.

The previous prime is 1713978456079. The next prime is 1713978456101. The reversal of 1713978456100 is 16548793171.

The square root of 1713978456100 is 1309190.

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

It can be written as a sum of positive squares in 4 ways, for example, as 356678895076 + 1357299561024 = 597226^2 + 1165032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1713978456101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1165178365 + ... + 1165179835.

Almost surely, 2^{1713978456100} is an apocalyptic number.

1713978456100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1713978456100 is the 1309190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1713978456100

1713978456100 is an abundant number, since it is smaller than the sum of its proper divisors (2050173514031).

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

1713978456100 is an frugal number, since it uses more digits than its factorization.

1713978456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 1713978456100 in words is "one trillion, seven hundred thirteen billion, nine hundred seventy-eight million, four hundred fifty-six thousand, one hundred".