138699356544 has 384 divisors, whose sum is σ = 465811706880. Its totient is φ = 38796226560.

The previous prime is 138699356531. The next prime is 138699356569. The reversal of 138699356544 is 445653996831.

138699356544 is a `hidden beast` number, since 1 + 3 + 8 + 69 + 9 + 3 + 565 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×138699356544³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89888637 + ... + 89890179.

It is an arithmetic number, because the mean of its divisors is an integer number (1213051320).

Almost surely, 2^138699356544 is an apocalyptic number.

138699356544 is a gapful number since it is divisible by the number (14) 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 138699356544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232905853440).

138699356544 is an abundant number, since it is smaller than the sum of its proper divisors (327112350336).

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

138699356544 is a wasteful number, since it uses less digits than its factorization.

138699356544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1783 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 138699356544 in words is "one hundred thirty-eight billion, six hundred ninety-nine million, three hundred fifty-six thousand, five hundred forty-four".