6138623232000 has 2688 divisors, whose sum is σ = 27169535877120. Its totient is φ = 1354442342400.

The previous prime is 6138623231977. The next prime is 6138623232043. The reversal of 6138623232000 is 2323268316.

It is a happy number.

6138623232000 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 623 + 2 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 48335615937 + ... + 48335616063.

It is an arithmetic number, because the mean of its divisors is an integer number (10107714240).

Almost surely, 2^{6138623232000} is an apocalyptic number.

6138623232000 is a gapful number since it is divisible by the number (60) 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 6138623232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584767938560).

6138623232000 is an abundant number, since it is smaller than the sum of its proper divisors (21030912645120).

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

6138623232000 is an equidigital number, since it uses as much as digits as its factorization.

6138623232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 6138623232000 in words is "six trillion, one hundred thirty-eight billion, six hundred twenty-three million, two hundred thirty-two thousand".