6931404144 has 160 divisors (see below), whose sum is σ = 23522304000. Its totient is φ = 1912087296.

The previous prime is 6931404121. The next prime is 6931404157. The reversal of 6931404144 is 4414041396.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6931404099 and 6931404108.

It is a congruent number.

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, 48177 + ... + 127215.

It is an arithmetic number, because the mean of its divisors is an integer number (147014400).

Almost surely, 2^6931404144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6931404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761152000).

6931404144 is an abundant number, since it is smaller than the sum of its proper divisors (16590899856).

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

6931404144 is a wasteful number, since it uses less digits than its factorization.

6931404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79092 (or 79080 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6931404144 is about 83255.0547654615. The cubic root of 6931404144 is about 1906.6621292430.

The spelling of 6931404144 in words is "six billion, nine hundred thirty-one million, four hundred four thousand, one hundred forty-four".