138416246712 has 96 divisors (see below), whose sum is σ = 389025262080. Its totient is φ = 46107468000.

The previous prime is 138416246699. The next prime is 138416246713. The reversal of 138416246712 is 217642614831.

138416246712 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 1 + 624 + 6 + 7 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138416246713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2937337 + ... + 2984087.

It is an arithmetic number, because the mean of its divisors is an integer number (4052346480).

Almost surely, 2^138416246712 is an apocalyptic number.

138416246712 is a gapful number since it is divisible by the number (12) 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 138416246712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194512631040).

138416246712 is an abundant number, since it is smaller than the sum of its proper divisors (250609015368).

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

138416246712 is a wasteful number, since it uses less digits than its factorization.

138416246712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48295 (or 48279 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 138416246712 in words is "one hundred thirty-eight billion, four hundred sixteen million, two hundred forty-six thousand, seven hundred twelve".