1738868345856 has 352 divisors, whose sum is σ = 5536136064000. Its totient is φ = 537425362944.

The previous prime is 1738868345849. The next prime is 1738868345867. The reversal of 1738868345856 is 6585438688371.

1738868345856 is a `hidden beast` number, since 1 + 7 + 3 + 8 + 8 + 6 + 8 + 34 + 585 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24654450 + ... + 24724878.

Almost surely, 2^{1738868345856} is an apocalyptic number.

1738868345856 is a gapful number since it is divisible by the number (16) 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 1738868345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768068032000).

1738868345856 is an abundant number, since it is smaller than the sum of its proper divisors (3797267718144).

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

1738868345856 is a wasteful number, since it uses less digits than its factorization.

1738868345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70524 (or 70500 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 1738868345856 in words is "one trillion, seven hundred thirty-eight billion, eight hundred sixty-eight million, three hundred forty-five thousand, eight hundred fifty-six".