6131345523440 has 80 divisors (see below), whose sum is σ = 14504680212480. Its totient is φ = 2409734184960.

The previous prime is 6131345523383. The next prime is 6131345523467. The reversal of 6131345523440 is 443255431316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3857297 + ... + 5209743.

It is an arithmetic number, because the mean of its divisors is an integer number (181308502656).

Almost surely, 2^{6131345523440} 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 6131345523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252340106240).

6131345523440 is an abundant number, since it is smaller than the sum of its proper divisors (8373334689040).

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

6131345523440 is a wasteful number, since it uses less digits than its factorization.

6131345523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353450 (or 1353444 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 6131345523440 in words is "six trillion, one hundred thirty-one billion, three hundred forty-five million, five hundred twenty-three thousand, four hundred forty".