138912440814 has 96 divisors (see below), whose sum is σ = 358433449920. Its totient is φ = 38040823296.

The previous prime is 138912440773. The next prime is 138912440827. The reversal of 138912440814 is 418044219831.

138912440814 is a `hidden beast` number, since 138 + 91 + 24 + 408 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138912440814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361852 + ... + 639344.

It is an arithmetic number, because the mean of its divisors is an integer number (3733681770).

Almost surely, 2^138912440814 is an apocalyptic number.

138912440814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138912440814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179216724960).

138912440814 is an abundant number, since it is smaller than the sum of its proper divisors (219521009106).

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

138912440814 is a wasteful number, since it uses less digits than its factorization.

138912440814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277674 (or 277671 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 138912440814 in words is "one hundred thirty-eight billion, nine hundred twelve million, four hundred forty thousand, eight hundred fourteen".