6138075456 has 112 divisors (see below), whose sum is σ = 18066715200. Its totient is φ = 2043542016.

The previous prime is 6138075451. The next prime is 6138075469. The reversal of 6138075456 is 6545708316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138075451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1914751 + ... + 1917953.

Almost surely, 2^6138075456 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 6138075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9033357600).

6138075456 is an abundant number, since it is smaller than the sum of its proper divisors (11928639744).

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

6138075456 is a wasteful number, since it uses less digits than its factorization.

6138075456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6138075456 is about 78345.8707016522. The cubic root of 6138075456 is about 1830.9538913010.

The spelling of 6138075456 in words is "six billion, one hundred thirty-eight million, seventy-five thousand, four hundred fifty-six".