138822668041680 has 1680 divisors, whose sum is σ = 594319063734720. Its totient is φ = 29971551633408.

The previous prime is 138822668041679. The next prime is 138822668041693. The reversal of 138822668041680 is 86140866228831.

138822668041680 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 2 + 2 + 66 + 80 + 416 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 19166456139 + ... + 19166463381.

Almost surely, 2^{138822668041680} is an apocalyptic number.

138822668041680 is a gapful number since it is divisible by the number (10) 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 138822668041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297159531867360).

138822668041680 is an abundant number, since it is smaller than the sum of its proper divisors (455496395693040).

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

138822668041680 is a wasteful number, since it uses less digits than its factorization.

138822668041680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 138822668041680 in words is "one hundred thirty-eight trillion, eight hundred twenty-two billion, six hundred sixty-eight million, forty-one thousand, six hundred eighty".