138243850264800 has 2016 divisors, whose sum is σ = 628369201797120. Its totient is φ = 28969344921600.

The previous prime is 138243850264783. The next prime is 138243850264823. The reversal of 138243850264800 is 8462058342831.

138243850264800 is a `hidden beast` number, since 1 + 3 + 8 + 24 + 38 + 502 + 6 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×138243850264800² (a number of 29 digits) contains 22 as substring.

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

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, 2404504854 + ... + 2404562346.

It is an arithmetic number, because the mean of its divisors is an integer number (311691072320).

Almost surely, 2^{138243850264800} is an apocalyptic number.

138243850264800 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 138243850264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314184600898560).

138243850264800 is an abundant number, since it is smaller than the sum of its proper divisors (490125351532320).

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

138243850264800 is a wasteful number, since it uses less digits than its factorization.

138243850264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57588 (or 57560 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 138243850264800 in words is "one hundred thirty-eight trillion, two hundred forty-three billion, eight hundred fifty million, two hundred sixty-four thousand, eight hundred".