138047946624 has 256 divisors, whose sum is σ = 467744256000. Its totient is φ = 39263864832.

The previous prime is 138047946623. The next prime is 138047946629. The reversal of 138047946624 is 426649740831.

138047946624 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 4 + 7 + 9 + 4 + 6 + 624 = 666.

138047946624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138047946623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5382022 + ... + 5407610.

It is an arithmetic number, because the mean of its divisors is an integer number (1827126000).

Almost surely, 2^138047946624 is an apocalyptic number.

138047946624 is a gapful number since it is divisible by the number (14) 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 138047946624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233872128000).

138047946624 is an abundant number, since it is smaller than the sum of its proper divisors (329696309376).

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

138047946624 is a wasteful number, since it uses less digits than its factorization.

138047946624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25842 (or 25824 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 138047946624 in words is "one hundred thirty-eight billion, forty-seven million, nine hundred forty-six thousand, six hundred twenty-four".