6123250944 has 432 divisors, whose sum is σ = 20285637120. Its totient is φ = 1813708800.

The previous prime is 6123250909. The next prime is 6123250993. The reversal of 6123250944 is 4490523216.

It is a happy number.

6123250944 is a `hidden beast` number, since 612 + 32 + 5 + 0 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6123250944² = 74988404246393782272, which contains 22 as substring.

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 = 6123250899 and 6123250908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149347564 + ... + 149347604.

Almost surely, 2^6123250944 is an apocalyptic number.

6123250944 is a gapful number since it is divisible by the number (64) 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 6123250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142818560).

6123250944 is an abundant number, since it is smaller than the sum of its proper divisors (14162386176).

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

6123250944 is a wasteful number, since it uses less digits than its factorization.

6123250944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6123250944 is about 78251.2041057516. The cubic root of 6123250944 is about 1829.4786797753.

The spelling of 6123250944 in words is "six billion, one hundred twenty-three million, two hundred fifty thousand, nine hundred forty-four".