1738116481320 has 576 divisors, whose sum is σ = 6224001217200. Its totient is φ = 420081500160.

The previous prime is 1738116481319. The next prime is 1738116481369. The reversal of 1738116481320 is 231846118371.

1738116481320 is a `hidden beast` number, since 1 + 7 + 38 + 116 + 481 + 3 + 20 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 8728417476 + 1729388063844 = 93426^2 + 1315062^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2283989740 + ... + 2283990500.

Almost surely, 2^{1738116481320} is an apocalyptic number.

1738116481320 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 1738116481320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112000608600).

1738116481320 is an abundant number, since it is smaller than the sum of its proper divisors (4485884735880).

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

1738116481320 is a wasteful number, since it uses less digits than its factorization.

1738116481320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1738116481320 in words is "one trillion, seven hundred thirty-eight billion, one hundred sixteen million, four hundred eighty-one thousand, three hundred twenty".