1738240745472 has 2016 divisors, whose sum is σ = 7048466740224. Its totient is φ = 406270771200.

The previous prime is 1738240745447. The next prime is 1738240745531. The reversal of 1738240745472 is 2745470428371.

It is a happy number.

1738240745472 is a `hidden beast` number, since 1 + 7 + 3 + 8 + 24 + 0 + 74 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20942659543 + ... + 20942659625.

It is an arithmetic number, because the mean of its divisors is an integer number (3496263264).

Almost surely, 2^{1738240745472} is an apocalyptic number.

1738240745472 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 1738240745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524233370112).

1738240745472 is an abundant number, since it is smaller than the sum of its proper divisors (5310225994752).

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

1738240745472 is a wasteful number, since it uses less digits than its factorization.

1738240745472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 1738240745472 in words is "one trillion, seven hundred thirty-eight billion, two hundred forty million, seven hundred forty-five thousand, four hundred seventy-two".