6981685874944 has 81 divisors (see below), whose sum is σ = 15319212452229. Its totient is φ = 3173282196480.

The previous prime is 6981685874941. The next prime is 6981685875053. The reversal of 6981685874944 is 4494785861896.

The square root of 6981685874944 is 2642288.

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

It can be written as a sum of positive squares in only one way, i.e., 5102900281600 + 1878785593344 = 2258960^2 + 1370688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6981685874941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 465035182 + ... + 465050194.

Almost surely, 2^{6981685874944} is an apocalyptic number.

6981685874944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6981685874944 is the 2642288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6981685874944

6981685874944 is an abundant number, since it is smaller than the sum of its proper divisors (8337526577285).

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

6981685874944 is an frugal number, since it uses more digits than its factorization.

6981685874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30064 (or 15026 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 79.

The spelling of 6981685874944 in words is "six trillion, nine hundred eighty-one billion, six hundred eighty-five million, eight hundred seventy-four thousand, nine hundred forty-four".