138863363759712 has 240 divisors, whose sum is σ = 434465826589872. Its totient is φ = 43358504878080.

The previous prime is 138863363759677. The next prime is 138863363759713. The reversal of 138863363759712 is 217957363368831.

It is a happy number.

138863363759712 is a `hidden beast` number, since 1 + 3 + 88 + 63 + 36 + 375 + 97 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138863363759713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1829728 + ... + 16765280.

Almost surely, 2^{138863363759712} is an apocalyptic number.

138863363759712 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 138863363759712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217232913294936).

138863363759712 is an abundant number, since it is smaller than the sum of its proper divisors (295602462830160).

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

138863363759712 is a wasteful number, since it uses less digits than its factorization.

138863363759712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14935803 (or 14935786 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 138863363759712 in words is "one hundred thirty-eight trillion, eight hundred sixty-three billion, three hundred sixty-three million, seven hundred fifty-nine thousand, seven hundred twelve".