6120831456 has 144 divisors (see below), whose sum is σ = 18913789440. Its totient is φ = 1870490880.

The previous prime is 6120831433. The next prime is 6120831463. The reversal of 6120831456 is 6541380216.

It is a happy number.

6120831456 is a `hidden beast` number, since 6 + 120 + 83 + 1 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 6120831456.

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 23 ways as a sum of consecutive naturals, for example, 151591 + ... + 187673.

It is an arithmetic number, because the mean of its divisors is an integer number (131345760).

Almost surely, 2^6120831456 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 6120831456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9456894720).

6120831456 is an abundant number, since it is smaller than the sum of its proper divisors (12792957984).

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

6120831456 is a wasteful number, since it uses less digits than its factorization.

6120831456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36149 (or 36138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6120831456 is about 78235.7428289653. The cubic root of 6120831456 is about 1829.2376866120.

The spelling of 6120831456 in words is "six billion, one hundred twenty million, eight hundred thirty-one thousand, four hundred fifty-six".