1711313625644 has 72 divisors (see below), whose sum is σ = 3518833070592. Its totient is φ = 713354091840.

The previous prime is 1711313625641. The next prime is 1711313625653. The reversal of 1711313625644 is 4465263131171.

It is a junction number, because it is equal to n+sod(n) for n = 1711313625595 and 1711313625604.

It is not an unprimeable number, because it can be changed into a prime (1711313625641) 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, 151290749 + ... + 151302059.

It is an arithmetic number, because the mean of its divisors is an integer number (48872681536).

Almost surely, 2^{1711313625644} is an apocalyptic number.

1711313625644 is a gapful number since it is divisible by the number (14) 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 1711313625644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759416535296).

1711313625644 is an abundant number, since it is smaller than the sum of its proper divisors (1807519444948).

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

1711313625644 is a wasteful number, since it uses less digits than its factorization.

1711313625644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15343 (or 15304 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The spelling of 1711313625644 in words is "one trillion, seven hundred eleven billion, three hundred thirteen million, six hundred twenty-five thousand, six hundred forty-four".