6131091456 has 576 divisors, whose sum is σ = 22179830400. Its totient is φ = 1592524800.

The previous prime is 6131091451. The next prime is 6131091457. The reversal of 6131091456 is 6541901316.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6131091456.

It is not an unprimeable number, because it can be changed into a prime (6131091451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100509666 + ... + 100509726.

It is an arithmetic number, because the mean of its divisors is an integer number (38506650).

Almost surely, 2^6131091456 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 6131091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089915200).

6131091456 is an abundant number, since it is smaller than the sum of its proper divisors (16048738944).

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

6131091456 is a wasteful number, since it uses less digits than its factorization.

6131091456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 6131091456 is about 78301.2864262140. The cubic root of 6131091456 is about 1830.2591982585.

The spelling of 6131091456 in words is "six billion, one hundred thirty-one million, ninety-one thousand, four hundred fifty-six".