6125460645216 has 144 divisors (see below), whose sum is σ = 17678908809072. Its totient is φ = 1855682442240.

The previous prime is 6125460645193. The next prime is 6125460645257.

It is a happy number.

6125460645216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42640326 + ... + 42783738.

It is an arithmetic number, because the mean of its divisors is an integer number (122770200063).

Almost surely, 2^{6125460645216} is an apocalyptic number.

6125460645216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6125460645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8839454404536).

6125460645216 is an abundant number, since it is smaller than the sum of its proper divisors (11553448163856).

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

6125460645216 is a wasteful number, since it uses less digits than its factorization.

6125460645216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147125 (or 147106 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 6125460645216 in words is "six trillion, one hundred twenty-five billion, four hundred sixty million, six hundred forty-five thousand, two hundred sixteen".