138416944545792 has 768 divisors, whose sum is σ = 478987912166400. Its totient is φ = 39476778762240.

The previous prime is 138416944545787. The next prime is 138416944545799. The reversal of 138416944545792 is 297545449614831.

It is a happy number.

138416944545792 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 1 + 6 + 9 + 4 + 4 + 545 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 138416944545792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138416944545799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488964209 + ... + 1489057167.

It is an arithmetic number, because the mean of its divisors is an integer number (623682177300).

Almost surely, 2^{138416944545792} is an apocalyptic number.

138416944545792 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 138416944545792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239493956083200).

138416944545792 is an abundant number, since it is smaller than the sum of its proper divisors (340570967620608).

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

138416944545792 is an frugal number, since it uses more digits than its factorization.

138416944545792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93032 (or 92992 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 138416944545792 in words is "one hundred thirty-eight trillion, four hundred sixteen billion, nine hundred forty-four million, five hundred forty-five thousand, seven hundred ninety-two".