138963294096 has 240 divisors, whose sum is σ = 433425592320. Its totient is φ = 38158560000.

The previous prime is 138963294079. The next prime is 138963294097. The reversal of 138963294096 is 690492369831.

It is a super-2 number, since 2×138963294096² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138963294097) 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, 2510721 + ... + 2565471.

It is an arithmetic number, because the mean of its divisors is an integer number (1805939968).

Almost surely, 2^138963294096 is an apocalyptic number.

138963294096 is a gapful number since it is divisible by the number (16) 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 138963294096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216712796160).

138963294096 is an abundant number, since it is smaller than the sum of its proper divisors (294462298224).

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

138963294096 is a wasteful number, since it uses less digits than its factorization.

138963294096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54826 (or 54809 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 138963294096 in words is "one hundred thirty-eight billion, nine hundred sixty-three million, two hundred ninety-four thousand, ninety-six".