138862696896 has 448 divisors, whose sum is σ = 510245928960. Its totient is φ = 35977374720.

The previous prime is 138862696891. The next prime is 138862696909. The reversal of 138862696896 is 698696268831.

138862696896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138862696891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64797201 + ... + 64799343.

Almost surely, 2^138862696896 is an apocalyptic number.

138862696896 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 138862696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255122964480).

138862696896 is an abundant number, since it is smaller than the sum of its proper divisors (371383232064).

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

138862696896 is a wasteful number, since it uses less digits than its factorization.

138862696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2653 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 138862696896 in words is "one hundred thirty-eight billion, eight hundred sixty-two million, six hundred ninety-six thousand, eight hundred ninety-six".