6123917952 has 256 divisors, whose sum is σ = 18818755200. Its totient is φ = 1958805504.

The previous prime is 6123917941. The next prime is 6123917977. The reversal of 6123917952 is 2597193216.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6123917898 and 6123917907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10613088 + ... + 10613664.

Almost surely, 2^6123917952 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 6123917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409377600).

6123917952 is an abundant number, since it is smaller than the sum of its proper divisors (12694837248).

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

6123917952 is a wasteful number, since it uses less digits than its factorization.

6123917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 702 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 6123917952 is about 78255.4659560596. The cubic root of 6123917952 is about 1829.5451059608.

The spelling of 6123917952 in words is "six billion, one hundred twenty-three million, nine hundred seventeen thousand, nine hundred fifty-two".