6138663552 has 288 divisors, whose sum is σ = 21760813620. Its totient is φ = 1650475008.

The previous prime is 6138663523. The next prime is 6138663563. The reversal of 6138663552 is 2553668316.

6138663552 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 6 + 635 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5894554176 + 244109376 = 76776^2 + 15624^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6138663552³ (a number of 30 digits) contains 333 as substring.

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 = 6138663498 and 6138663507.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 956418 + ... + 962814.

Almost surely, 2^6138663552 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 6138663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10880406810).

6138663552 is an abundant number, since it is smaller than the sum of its proper divisors (15622150068).

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

6138663552 is a wasteful number, since it uses less digits than its factorization.

6138663552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6426 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 6138663552 is about 78349.6238153062. The cubic root of 6138663552 is about 1831.0123646928.

The spelling of 6138663552 in words is "six billion, one hundred thirty-eight million, six hundred sixty-three thousand, five hundred fifty-two".